Question

If the perimeter of a square increases by 25%, what is the increase in its area?
A) \frac{245}{4}% B) \frac{235}{4}% C) \frac{225}{4}% D) \frac{215}{4}%

Answer 1

$hi...$
$if \:perimeter \: is \: 1$
We know that ,

Perimeter = 4(side)

1 = 4(side)

side = 1 / 4

Area = side × side
Area = 1 / 4 × 1 / 4
Area = 1 / 16 sq . cm

$if \: perimeter \: is \: 2$
Perimeter = 4(side)
2 = 4(side)
1 = 2(side)
side = 1 / 2

Area = side × side
Area = 1 / 2 × 1 /2
Area = 1 / 4

Percent increased
= 1 / 16 ÷ 1 / 4 × 25
= 1 / 16 × 4 × 25
= 100 / 16
= 25 / 4 %
$hope \: \: this \: \: helps..$