Solve this multiple-choice question and choose the correct option.

Let area 100 m2 Then, side = 10 m New side = 125 % of 10 = (125/100) x 10 = 12.5 m New area = 12.5 x 12.5 m2 =(12.5)2 sq. m∴ Increase in area = (12.5)2 - (10)2 m2 = 22.5 x 2.5 m2 =56.25 m2 % Increase = 56.25 %

If the side of a square is increased by 25%, then how much percent does its area get increased?

125
156.25
50
56.25

Correct Answer: 56.25

Explanation:

Let area 100 m² Then, side = 10 m New side = 125 % of 10 = (125/100) x 10 = 12.5 m New area = 12.5 x 12.5 m² =(12.5)² sq. m∴ Increase in area = (12.5)² - (10)² m² = 22.5 x 2.5 m² =56.25 m² % Increase = 56.25 %

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