The sides of a square are increased by 10 percentage to make a larger square .By what percentage is the area increased?
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Hey mate ,
Let the side of the square be x cm
Thus area = a^2 = x^2
If side is increased by 10 percent
thus increased side = x + 10%x
= x + 1/10 x
= 11/ 10 x
Thus area = (11/10 x )^ 2
= 121/100 x^2
= 1.21 x^2
percentage of area increased = 1.21x^2 - x^2 /x^2 × 100
= 0.21 ×100
= 21 %
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