In a rectangle, the length is 3.5 times its width. Its perimeter is 90 cm. Then the area of the rectangle is
1. 350 cm2
2. 35 cm2
3. 250 cm2
4. 45 cm2
1. 350 cm2
2. 35 cm2
3. 250 cm2
4. 45 cm2
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Correct Answer – Option 1 : 350 cm2
Concept:
Area of rectangle = Length × Breadth
Perimeter of rectangle = 2 × (Length + Breadth)
Calculation:
Given:
The length and breadth of a rectangle are in the ratio of 3.5 : 1, The perimeter of the rectangle is 90 cm.
Let the length of the rectangle be 3.5x breadth of the recatangle is x
The perimeter of the rectangle is 2 × (L + B)
Perimeter = 2(3.5x + x)
Perimeter = 9x
∴ 9x = 90
∴ x = 10.
Length = 35 cm and Breadth = 10 cm
Area of rectangle = Length × Breadth
Area = 35 × 10
∴ Area = 350 cm2.