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Giaan Masih
Asked: 2022-11-08T03:48:13+05:30 In:

The length of a rectangle is increased by 25% and breadth was decreased by 20% then what will be the percentage change in the area of the rectangle?
1. 15 % increase
2. 25% increase
3. 10% increase
4. 0%
5. 20% decrease

The length of a rectangle is increased by 25% and breadth was decreased by 20% then what will be the percentage change in the area of the rectangle?
1. 15 % increase
2. 25% increase
3. 10% increase
4. 0%
5. 20% decrease
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1 Answer

  1. Correct Answer – Option 4 : 0%

    Given-   

    Length of a rectangle is increased by 25%

    Concept Used-

    Area of Rectangle = Length × Breadth

    Calculation- 

    Let length of rectangle be l and breadth be b

    Area of rectangle initially = l × b

    Increased length = l(1 + 25%)

    ⇒ 5l/4

    Decreased Breadth =  b(1 – 20%)

    ⇒ 4b/5

    Area of new rectangle = 5l/4 × 4b/l

    ⇒ lb

    ∴ Percentage change in the area of the rectangle = 0%

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