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Question

Mathematics Question on Mensuration

The length of a rectangular plot is increased by 25%. To keep its area unchanged, the width of the plot should be

A

Kept unchanged

B

Increased by 25%

C

Increased by 20%

D

Reduced by 20%

Answer

Reduced by 20%

Explanation

Solution

Let length of rectangular plot be 4 m and width be 10 m
Area = lb = 40m2
After length is increased by 25%, new length = 5m
New width if area is same =405=8\frac{40}{5}=8 m
Therefore, Reduction in width =(108)10×100\frac{(10-8)}{10}\times100
The correct answer is (D): Reduced by 20%