Question

if side of square is decreased by 3 times its area is decreased by

Answer 1

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Answer 2

For square
Area = (Side)²

A₂/A₁ = (S₂/S₁)²
A₂ = A₁ × [(2S₁/3) / (S₁)]² ……[∵ Final Side = S₁ - S₁/3 = 2S₁/3]
A₂ = 4A₁/9

Decrease in area = A₁ - A₂ = A₁ - 4A₁/9 = 5A₁/9

∴ Area is decreased by 5/9