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
Explanation
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
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