150 + Mcqs in Area and Perimeter in Aptitude Page 1 McqOptions

1.	A square, a circle and equilateral triangle have same perimeter. Consider the following statements. I. The area of square is greater than the area of the triangle. II. The area of circle is less then the area of triangle. Which of the statement is/are correct ?
A.	Only I
B.	Only II
C.	Both I and II
D.	Neither I nor II
Answer» B. Only II

Discussion

2.	A rectangle has 15 cm as its length and 150 cm² as its area .Its area is increased to 1¹ / ₃ times the original area by increasing only its length . Its new perimeter is ?
A.	50 cm
B.	60 cm
C.	70 cm
D.	80 cm
Answer» C. 70 cm

Discussion

3.	A park is in the form of a square one of whose sides is 100 m . The area of the park excluding the circular lawn in the centre of the park is 8614 m². The radius of the circular lawn is ?
A.	21 m
B.	31 m
C.	41 m
D.	None of these
Answer» B. 31 m

Discussion

4.	The sides of a triangle area in the ratio of 1/3 : 1/4 : 1/5 and its perimeter is 94 cm. Find the length of the smallest side of the triangle .
A.	18 cm
B.	22.5 cm
C.	24 cm
D.	27 cm
Answer» D. 27 cm

Discussion

5.	The adjacent sides of parallelogram are 6 cm and 4 cm and the angle between then is 30 . The area of the parallelogram is ?
A.	12 cm
B.	24 cm
C.	48 cm
D.	None of these
Answer» B. 24 cm

Discussion

6.	The area of a trapezium is 384 sq.cm². If its parallel sides are in ratio 3 : 5 and the perpendicular distance between them be 12 cm, The smaller of parallel sides is ?
A.	20 cm
B.	24 cm
C.	30 cm
D.	36 cm
Answer» C. 30 cm

Discussion

7.	A rectangle has 30 cm as its length and 720 sq cm as its area. Its area is increased to 1¹/₄ times its original area by increasing only its length. Its new perimeter is
A.	123 cm
B.	125 cm
C.	119 cm
D.	121 cm
E.	None of the above
Answer» B. 125 cm

Discussion

8.	A railing of 288 m is required for fencing a semi-circular park. Find the area of the park. ( = 22/7)
A.	4928 m
B.	9865 m
C.	8956 m
D.	9856 m
Answer» B. 9865 m

Discussion

9.	A rectangle has 20 cm as its length and 200 sq cm as its area. If the area is increased by 1¹/₅ time the original area by increase its length only then the perimeter of the rectangle so formed (in cm) is
A.	72
B.	60
C.	64
D.	68
Answer» E.

Discussion

10.	Four horses are be tethered at four concern of a square plot of side 63 meters, so that they just cannot reach one another. The area left ungrazed is ?
A.	675.5 m
B.	780.6 m
C.	785.8 m
D.	850.5 m
Answer» E.

Discussion

11.	If 88 m wire is required to fence a circular plot of land, then the area of the plot is ?
A.	526 m
B.	556 m
C.	616 m
D.	None of these
Answer» D. None of these

Discussion

12.	The perimeter of an isosceles triangle is equal to 14 cm . The lateral side is to the base in the ratio 5 : 4 the area of the triangle is ?
A.	1/2 21 cm
B.	3/2 21 cm
C.	21
D.	2 21 cm
Answer» E.

Discussion

13.	The sides of a triangular board are 13 meters, 14 meters and 15 meters. The cost of paining it at the rate of Rs. 8.75 per m² is ?
A.	Rs. 688.80
B.	Rs. 735
C.	Rs. 730.80
D.	Rs. 722.50
Answer» C. Rs. 730.80

Discussion

14.	Radhika runs along the boundary of a rectangular park at the rate of 12 km/hr and completes one full round in 15 minutes. If the length of the park is 4 times its breadth , the area of the park is ?
A.	360000 m
B.	36000
C.	3600 m
D.	None of these
Answer» B. 36000

Discussion

15.	If D,E and F are respectively the midpoint of the sides BC , CA and AB of a ABC and the area of ABC = 36m ². Then area of DEF is ?
A.	12 cm
B.	9 cm
C.	18 cm
D.	19 cm
Answer» C. 18 cm

Discussion

16.	Diagonals of a rhombus area 1 m and 1.5 m in lengths. The area of the rhombus is
A.	0.75 m
B.	1.5 m
C.	1.5 m
D.	0.375 m
Answer» B. 1.5 m

Discussion

17.	The perimeter of a rectangle having area equal to 144 cm² and sides in the ratio 4 : 9 is
A.	52 cm
B.	56 cm
C.	60 cm
D.	64 cm
Answer» B. 56 cm

Discussion

18.	Area of rectangular field is 3584 m² and the length and the breadth are in the ratio 7 : 2, respectively. What is the perimeter of the rectangle ?
A.	246 m
B.	292 m
C.	286 m
D.	288 m
E.	None of the above
Answer» E. None of the above

Discussion

19.	One side of a rectangular field is 4 meter and its diagonal is 5 meter. The area of the field is ?
A.	12 m
B.	15 m
C.	20 m
D.	4 5 m
E.
Answer» B. 15 m

Discussion

20.	The base of right-angled triangle is 5 meters and hypotenuse is 13 meters . Its area will be ?
A.	25m
B.	28 m
C.	30m
D.	None of these
Answer» D. None of these

Discussion

21.	The length of a rectangle is twice its breadth. If its length is decreased by 5 cm and the breadth is increased by 5 cm, the area of the rectangle is increased by 75 cm² . Therefore , the length of the rectangle is ?
A.	20 cm
B.	30 cm
C.	40 cm
D.	50 cm
Answer» D. 50 cm

Discussion

22.	One side of a parallelogram is 8.06 cm and its perpendicular distance from opposite side is 2.08 cm. What is the approximate area of the parallelogram?
A.	12.56 cm
B.	14.56 cm
C.	16.76 cm
D.	22.56 cm
Answer» D. 22.56 cm

Discussion

23.	The length of each side of an equilateral triangle having an area of 4 3 cm² is ?
A.	4/ 3 cm
B.	3/4 cm
C.	3 cm
D.	4 cm
Answer» E.

Discussion

24.	The area of an equilateral triangle whose side is 8 cms is ?
A.	64 cm
B.	16 3 cm
C.	21.3 cm
D.	4 3 cm
Answer» C. 21.3 cm

Discussion

25.	The radius of a circle is increased so that its circumference increase by 5%. The area of the circle will increase by ?
A.	10 %
B.	10.25 %
C.	8.75 %
D.	10.5 %
Answer» C. 8.75 %

Discussion

26.	The altitude of an equilateral triangle of side 2 3 cm is ?
A.	3/2 cm
B.	1/2 cm
C.	3/4
D.	3 cm
Answer» E.

Discussion

27.	The length of minute hand of a wall clock is 7 cms. The area swept by minute hand in 30 minutes is ?
A.	147 sq. cm
B.	210 sq. cm
C.	154 sq. cm
D.	77 sq. cm
Answer» E.

Discussion

28.	The area of circle inscribed in an equilateral triangle is 462 cm . The perimeter of the triangle is ?
A.	42 3 cms
B.	126 cms
C.	72.6 cms
D.	168 cms
Answer» C. 72.6 cms

Discussion

29.	The area of rectangle whose length is 5 more than twice its width is 75 sq units. What is the perimeter of the rectangle ?
A.	40 unit
B.	30 unit
C.	24 unit
D.	20 unit
Answer» B. 30 unit

Discussion

30.	The radius of a circle is so increased that its circumference increased by 5%. The area of the circle, then increases by
A.	12.5%
B.	10.25%
C.	10.5 %
D.	11.25%
E.	None of the above
Answer» C. 10.5 %

Discussion

31.	The area of a circle is increased by 22 sq cm when its radius is increased by 1 cm. Find the original radius of the circle.
A.	6 cm
B.	3.2 cm
C.	3 cm
D.	3.5 cm
Answer» D. 3.5 cm

Discussion

32.	Find the length of a rope by which a cow must be tethered in order that it may be able to graze an area of 154 sq m.
A.	7 m
B.	8 m
C.	12 m
D.	13 m
Answer» B. 8 m

Discussion

33.	A wheel make 4000 revolution in moving a distance of 44 km. Find the radius of the wheel.
A.	15 m
B.	27 m
C.	25 m
D.	28 m
E.	None of the above
Answer» F.

Discussion

34.	A man riding a bicycle, completes one lap of a circular field along its circumference at the speed of 14.4 km/h in 1 min 28 s. What is the area of the field?
A.	7958 sq m
B.	9856 sq m
C.	8842 sq m
D.	Cannot be determined
E.	None of the above
Answer» C. 8842 sq m

Discussion

35.	If the radius of a circle is increased by 6%, find the percentage increase in its area.
A.	15%
B.	12.36%
C.	8.39%
D.	17%
Answer» C. 8.39%

Discussion

36.	The ratio of length and breadth of a rectangle is 5 : 3 .If length is 8 m more than breadth, find the area of the rectangle.
A.	300 sq m
B.	250 sq m
C.	240 sq m
D.	185 sq m
E.	None of the above
Answer» D. 185 sq m

Discussion

37.	The ratio between the lenght and the breadth of a rectangle is 2 : 1. If breadth is 5 cm less than the length, what will be the parimeter of the rectangle?
A.	30 cm
B.	25 cm
C.	35 cm
D.	40 cm
E.	None of the above
Answer» B. 25 cm

Discussion

38.	The perimeter of a rectangle having area equal to 144 cm
A.	52 cm
B.	56 cm
C.	60 cm
D.	64 cm
Answer» B. 56 cm

Discussion

39.	In ABC ,sides BC = 10 cm and height AD = 4.4 cm. If AC = 11 cm. Then altitude BE equals ?
A.	5 cm
B.	4 cm
C.	5.6 cm
D.	5.5 cm
Answer» C. 5.6 cm

Discussion

40.	The cross section of a canal is a trapezium in shape . If the canal is a trapezium in shape. If the canal is 10 meters wide at the top and 6 meters wide at bottom and the area of cross section is 640 sq. meters The depth of canal is ?
A.	40 meters
B.	80 meters
C.	160 meters
D.	384 meters
Answer» C. 160 meters

Discussion

41.	The area of a trapezium is 384 sq.cm. If its parallel sides in ratio 3 : 5 and the perpendicular distance between them be 12 cm. The smaller of parallel sides is ?
A.	16 cm
B.	24 cm
C.	32 cm
D.	40 cm
Answer» C. 32 cm

Discussion

42.	Find the cost of carpeting a room 8 m long and 6 m broad with a carpet 75 cm wide at 20 per m.
A.	1300
B.	1500
C.	1750
D.	1280
E.	None of the above
Answer» E. None of the above

Discussion

43.	A rectangle has 20 cm as its length and 200 sq cm as its area. If the area is increased by 1
A.	72
B.	60
C.	64
D.	68
Answer» E.

Discussion

44.	The breadth of a rectangle is 25 m. The total cost of putting a grass bed on this field was 12375, at the rate of 15 per sq m. What is the length of the rectangular field?
A.	27 m
B.	30 m
C.	33 m
D.	32 m
E.	None of the above
Answer» D. 32 m

Discussion

45.	The perimeter of two squares are 68 cm. Find the perimeter of the third square whose area is equal to the different of the areas of these two squares.
A.	64 cm
B.	60 cm
C.	32 cm
D.	8 cm
Answer» D. 8 cm

Discussion

46.	What is the area of a square having perimeter 68 cm?
A.	361 sq cm
B.	284 sq cm
C.	269 sq cm
D.	289 sq cm
E.	None of the above
Answer» D. 289 sq cm

Discussion

47.	If the diagonals of a rhombus are 4.8 cm 1.4 cm, then what is the perimeter of the rhombus?
A.	5 cm
B.	10 cm
C.	12 cm
D.	20 cm
Answer» C. 12 cm

Discussion

48.	Angles of a quadrilateral are in the ratio 3 : 4 : 5 : 8. The smallest angle is
A.	54
B.	40
C.	36
D.	18
Answer» B. 40

Discussion

49.	Floor of a square room of side 10 m is to be completely covered with square tiles, each having length 50 cm. The smallest number of tiles needed is ?
A.	200
B.	300
C.	400
D.	500
Answer» D. 500

Discussion

50.	The perimeter of an isosceles triangle is 26 cm while equal sides together measure 20 cm. The third side and each of the equal sides are respectively.
A.	6 cm and 10 cm
B.	8 cm and 9 cm
C.	10 cm and 8 cm
D.	14 cm and 6 cm
E.	None of the above
Answer» B. 8 cm and 9 cm

Discussion

Explore topic-wise MCQs in Aptitude.

A square, a circle and equilateral triangle have same perimeter.Consider the following statements.I. The area of square is greater than the area of the triangle.II. The area of circle is less then the area of triangle.Which of the statement is/are correct ?

A rectangle has 15 cm as its length and 150 cm2 as its area .Its area is increased to 11 / 3 times the original area by increasing only its length . Its new perimeter is ?

A park is in the form of a square one of whose sides is 100 m . The area of the park excluding the circular lawn in the centre of the park is 8614 m2. The radius of the circular lawn is ?

The sides of a triangle area in the ratio of 1/3 : 1/4 : 1/5 and its perimeter is 94 cm.Find the length of the smallest side of the triangle .

The adjacent sides of parallelogram are 6 cm and 4 cm and the angle between then is 30 . The area of the parallelogram is ?

The area of a trapezium is 384 sq.cm2. If its parallel sides are in ratio 3 : 5 and the perpendicular distance between them be 12 cm, The smaller of parallel sides is ?

A rectangle has 30 cm as its length and 720 sq cm as its area. Its area is increased to 11/4 times its original area by increasing only its length. Its new perimeter is

A railing of 288 m is required for fencing a semi-circular park. Find the area of the park. ( = 22/7)

A rectangle has 20 cm as its length and 200 sq cm as its area. If the area is increased by 11/5 time the original area by increase its length only then the perimeter of the rectangle so formed (in cm) is

Four horses are be tethered at four concern of a square plot of side 63 meters, so that they just cannot reach one another. The area left ungrazed is ?

If 88 m wire is required to fence a circular plot of land, then the area of the plot is ?

The perimeter of an isosceles triangle is equal to 14 cm . The lateral side is to the base in the ratio 5 : 4 the area of the triangle is ?

The sides of a triangular board are 13 meters, 14 meters and 15 meters. The cost of paining it at the rate of Rs. 8.75 per m2 is ?

Radhika runs along the boundary of a rectangular park at the rate of 12 km/hr and completes one full round in 15 minutes. If the length of the park is 4 times its breadth , the area of the park is ?

If D,E and F are respectively the midpoint of the sides BC , CA and AB of a ABC and the area of ABC = 36m 2. Then area of DEF is ?

Diagonals of a rhombus area 1 m and 1.5 m in lengths. The area of the rhombus is

The perimeter of a rectangle having area equal to 144 cm2 and sides in the ratio 4 : 9 is

Area of rectangular field is 3584 m2 and the length and the breadth are in the ratio 7 : 2, respectively. What is the perimeter of the rectangle ?

One side of a rectangular field is 4 meter and its diagonal is 5 meter. The area of the field is ?

The base of right-angled triangle is 5 meters and hypotenuse is 13 meters . Its area will be ?

The length of a rectangle is twice its breadth. If its length is decreased by 5 cm and the breadth is increased by 5 cm, the area of the rectangle is increased by 75 cm2 . Therefore , the length of the rectangle is ?

One side of a parallelogram is 8.06 cm and its perpendicular distance from opposite side is 2.08 cm. What is the approximate area of the parallelogram?

The length of each side of an equilateral triangle having an area of 4 3 cm2 is ?

The area of an equilateral triangle whose side is 8 cms is ?

The radius of a circle is increased so that its circumference increase by 5%. The area of the circle will increase by ?

The altitude of an equilateral triangle of side 2 3 cm is ?

The length of minute hand of a wall clock is 7 cms. The area swept by minute hand in 30 minutes is ?

The area of circle inscribed in an equilateral triangle is 462 cm . The perimeter of the triangle is ?

The area of rectangle whose length is 5 more than twice its width is 75 sq units. What is the perimeter of the rectangle ?

The radius of a circle is so increased that its circumference increased by 5%. The area of the circle, then increases by

The area of a circle is increased by 22 sq cm when its radius is increased by 1 cm. Find the original radius of the circle.

Find the length of a rope by which a cow must be tethered in order that it may be able to graze an area of 154 sq m.

A wheel make 4000 revolution in moving a distance of 44 km. Find the radius of the wheel.

A man riding a bicycle, completes one lap of a circular field along its circumference at the speed of 14.4 km/h in 1 min 28 s. What is the area of the field?

If the radius of a circle is increased by 6%, find the percentage increase in its area.

The ratio of length and breadth of a rectangle is 5 : 3 .If length is 8 m more than breadth, find the area of the rectangle.

The ratio between the lenght and the breadth of a rectangle is 2 : 1. If breadth is 5 cm less than the length, what will be the parimeter of the rectangle?

The perimeter of a rectangle having area equal to 144 cm

In ABC ,sides BC = 10 cm and height AD = 4.4 cm. If AC = 11 cm. Then altitude BE equals ?

The cross section of a canal is a trapezium in shape . If the canal is a trapezium in shape. If the canal is 10 meters wide at the top and 6 meters wide at bottom and the area of cross section is 640 sq. meters The depth of canal is ?

The area of a trapezium is 384 sq.cm. If its parallel sides in ratio 3 : 5 and the perpendicular distance between them be 12 cm. The smaller of parallel sides is ?

Find the cost of carpeting a room 8 m long and 6 m broad with a carpet 75 cm wide at 20 per m.

A rectangle has 20 cm as its length and 200 sq cm as its area. If the area is increased by 1

The breadth of a rectangle is 25 m. The total cost of putting a grass bed on this field was 12375, at the rate of 15 per sq m. What is the length of the rectangular field?

The perimeter of two squares are 68 cm. Find the perimeter of the third square whose area is equal to the different of the areas of these two squares.

What is the area of a square having perimeter 68 cm?

If the diagonals of a rhombus are 4.8 cm 1.4 cm, then what is the perimeter of the rhombus?

Angles of a quadrilateral are in the ratio 3 : 4 : 5 : 8. The smallest angle is

Floor of a square room of side 10 m is to be completely covered with square tiles, each having length 50 cm. The smallest number of tiles needed is ?

The perimeter of an isosceles triangle is 26 cm while equal sides together measure 20 cm. The third side and each of the equal sides are respectively.

A square, a circle and equilateral triangle have same perimeter.
Consider the following statements.
I. The area of square is greater than the area of the triangle.
II. The area of circle is less then the area of triangle.
Which of the statement is/are correct ?

A rectangle has 15 cm as its length and 150 cm² as its area .Its area is increased to 1¹ / ₃ times the original area by increasing only its length . Its new perimeter is ?

A park is in the form of a square one of whose sides is 100 m . The area of the park excluding the circular lawn in the centre of the park is 8614 m². The radius of the circular lawn is ?

The sides of a triangle area in the ratio of 1/3 : 1/4 : 1/5 and its perimeter is 94 cm.
Find the length of the smallest side of the triangle .

The area of a trapezium is 384 sq.cm². If its parallel sides are in ratio 3 : 5 and the perpendicular distance between them be 12 cm, The smaller of parallel sides is ?

A rectangle has 30 cm as its length and 720 sq cm as its area. Its area is increased to 1¹/₄ times its original area by increasing only its length. Its new perimeter is

A rectangle has 20 cm as its length and 200 sq cm as its area. If the area is increased by 1¹/₅ time the original area by increase its length only then the perimeter of the rectangle so formed (in cm) is

The sides of a triangular board are 13 meters, 14 meters and 15 meters. The cost of paining it at the rate of Rs. 8.75 per m² is ?

If D,E and F are respectively the midpoint of the sides BC , CA and AB of a ABC and the area of ABC = 36m ². Then area of DEF is ?

The perimeter of a rectangle having area equal to 144 cm² and sides in the ratio 4 : 9 is

Area of rectangular field is 3584 m² and the length and the breadth are in the ratio 7 : 2, respectively. What is the perimeter of the rectangle ?

The length of a rectangle is twice its breadth. If its length is decreased by 5 cm and the breadth is increased by 5 cm, the area of the rectangle is increased by 75 cm² . Therefore , the length of the rectangle is ?

The length of each side of an equilateral triangle having an area of 4 3 cm² is ?