The length of a rectangle is increased by 30% and the breadth is decreased by 25% what is the percentage change in the area of rectangle due to this
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Let L be the length and B be the breadth
Area = LB
After change,
length becomes 1.3L
breadth becomes 0.75B
Area = 1.3L × 0.75B = 0.975LB
Change in area = (0.975LB - LB)/LB × 100
= -2.5%
Thus, 2.5% decrease in the area
Area = LB
After change,
length becomes 1.3L
breadth becomes 0.75B
Area = 1.3L × 0.75B = 0.975LB
Change in area = (0.975LB - LB)/LB × 100
= -2.5%
Thus, 2.5% decrease in the area
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