Question

If the length of a rectangle is decreased by
20%, what should be the increase in the
breadth of the rectangle so that the area
remains the same?

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Answer 1

Answer:

The breadth should be increased by 25%

Step-by-step explanation:

L: length of rectangle

B: breadth of rectangle

A: Area of rectangle = L*B

Let X and Y be the new length and breadth

Given: X = L less 20% of L

=> X = L - 0.2*L

=> X = 0.8*L

We want to find Y such that both the areas are same.

=> X*Y = L*B

=> 0.8*L*Y = L*B

=> Y = B/0.8

=> Y = 1.25*B

=> Y = B + 0.25*B

=> Y = B + 25% of B

The new breadth should be 25% more than the old breadth

=> The breadth should be increased by 25%