If each side of a square is increased by 25%, find the percentage change in its area?

Q: If each side of a square is increased by 25%, find the percentage change in its area?

let each side of the square be a , then area = a 2 As given that The side is increased by 25%, then New side = 125a/100 = 5a/4 New area = 5 a 4 2 Increased area= 25 a 2 16 - a 2 Increase %= 9 a 2 / 16 a 2 * 100 % = 56.25%

65.25
56.25
65
56

Correct Answer: 56.25

Explanation:

let each side of the square be a , then area = $a 2$

As given that The side is increased by 25%, then

New side = 125a/100 = 5a/4

New area = $\frac{5 a}{4} 2$

Increased area= $\frac{25 a 2}{16} - a 2$

Increase %= $\frac{9 a 2 / 16}{a} * 100$ % = 56.25%

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