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The length of a rectangle is decreased by 5 % and its breadth is increased by 5%. What is the percentage change in the area of the rectangle?

A.	20%	B.	25%
C.	2.5%	D.	0.25%

Answer and Explanation

Answer:0.25%

Explanation:
Let the sides of the rectangle be l1 and b1.
Initial area of the rectangle , A1 = l1b1
Find the area of the rectangle, A2 = (0.95 l1)(1.05)b1 = 0.9975 l1b1.
Change in the area = l1b1 – 0.9975 l1b1 = 0.0025 l1b1
Percentage change = (0.0025 l1b1) / l1b1 × 100 = 0.25%

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