A square with side length 4 cm increases each side by 25%. What is the new area?

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Multiple Choice

A square with side length 4 cm increases each side by 25%. What is the new area?

Explanation:
When a square’s side grows by a percentage, the area grows by the square of that growth factor. Here, the side goes from 4 cm to 4 × 1.25 = 5 cm. The area of a square is the side length squared, so the new area is 5^2 = 25 cm^2. (Equivalently, starting from 16 cm^2 and multiplying by (1.25)^2 = 1.5625 also gives 25 cm^2.)

When a square’s side grows by a percentage, the area grows by the square of that growth factor. Here, the side goes from 4 cm to 4 × 1.25 = 5 cm. The area of a square is the side length squared, so the new area is 5^2 = 25 cm^2. (Equivalently, starting from 16 cm^2 and multiplying by (1.25)^2 = 1.5625 also gives 25 cm^2.)

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