Question

If you increase the arm of a square by 10%, so by what percentage the area will increase?

with explaination...​

Answer 1

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Let the side of square be s

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Formula used :-

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Area of square = s² OR side×side.

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★ Given :-

• Side of area increased by 10%

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Side by increasing 10% ↓

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→ 1+1/100

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New side of square ↓

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→ 1.1s

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Area of a square :-

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→ Side × side (s²)

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→ 1.1s × 1.1s

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→ 1.21s²

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Formula used :-

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Total increase area = New square area - square of area.

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Using the formula :-

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→ 1.21s² - s² = 0.215s²

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Percentage of increased area :-

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→ (0.21s² / s²) × 100

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→ 0.21 × 100

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→ 21%

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Hence, the area of square will increase by 21%

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