If each side of a square is increased by 25% , find the percentage change in its area.
Let each of the square be a. Then, area = `a^2`
New side = `(125a)/(100) = (5a)/(4) `
New area = `((5a)/(4))^2 = (25a^2)/(16)`
Increase in area = `((25a^2)/(16) - a^2) = (9a^2)/(16)`.
`:.` Increase % = `((9a^2)/(16) xx 1/a^2 xx 100)`% = 56.25%
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