The area of rectangle is the product of its length and width. If the width of rectangle is decreased by 25% and length is increased by 16% than the area:

Increase by 7%

Decrease by 13%

Decrease by 23%

all

Let's assume the original length and width of the rectangle are L and W

Then, the original area of the rectangle is: A = L x W

If the width of the rectangle is decreased by 25%, its new width is:

W = W - 0.25W = 0.75W

If the length of the rectangle is increased by 16%, its new length is:

L = L + 0.16L = 1.16L

The new area of the rectangle is:

A = L x W

A = (1.16L) x (0.75W)

A = 0.87LW

So the new area is 0.87 times the original area.

This means that the new area is decreased by 13% compared to the original area.

ND06-08-2023