If the side of a square increases by 0.5%, find the approximate percentage increase in area

1 answer

When the side of a square increases by 0.5%, the new side length is 100% + 0.5% = 100.5% of the original side length.

Therefore, the new area of the square is (100.5%)^2 = 1.01 times the original area.

To find the percentage increase in area, we calculate:

(1.01 - 1) / 1 * 100% = 1%

Therefore, the approximate percentage increase in area is 1%.