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The ratio of the diagonal of two square P and Q is 1 : 4. Find the ratio of their area.
1. 1 : 16
2. 2 : 7
3. 2 : 9
4. 1 : 5

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Correct Answer - Option 1 : 1 : 16

Given

Ratio of the diagonal of square P and Q = 1 : 4

Formula used

Area of square = (1/2) × (diagonal)2

Calculation

Area of square P/Area of square Q = [(1/2) × (x)2]/[(1/2) × (4x)2]

⇒ 1 : 16

∴ Ratio of the area of two squares P and Q is 1 : 16

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