Question

The length of a rectangle was decreased by 5% and the breadth was increased by 5%. By what percent did the area of the rectangle change?

No difference and 1/10 is not the answer​

Answer 1

The area of the rectangle decrease by -0.25 %.

Step-by-step explanation:

Let the length of a rectangle = L

breadth of a rectangle = B

If length of a rectangle decreased by x% and the breadth of a rectangle increased by y% then area will be $(-x + y - \frac{xy}{100})%$ %.

Negative sign for decrease in length.

Length of the rectangle decreased by 5% and the breadth increased by 5% then area will be,

$(-5 + 5 - \frac{5\times 5}{100})$%

= $\frac{-1}{4}$ % = -0.25 %

Hence, the area of the rectangle decrease by -0.25 %.