Question

If the area of a square increases by 27.69%, what is the percentage chnage in its perimeter

Answer 1

Let, side of the square be 1cm.
Area = 1cm^2
Area increased 27.69% = 1.2769 cm^2
Now side of square = 1.13 cm
Perimeter of increased square= 4.52 cm
Perimeter of first square = 4 cm
x/ 100 × 4 + 4 = 4.52
x/100 × 4 = 0.52
x/100 = 0.13
x = 13

Answer = 13% Change