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Question

The diagonal of a square is 9√2 cm. Find its area.

This question was previously asked in
UPTET 2026 Paper 2 Social Studies Question Paper (3-Jul-2026) (Shift 1)
The correct answer is

81 cm²

For a square with diagonal \(d\), the side length is \(a = \frac{d}{\sqrt{2}}\).

Substituting \(d = 9\sqrt{2}\) gives \(a = \frac{9\sqrt{2}}{\sqrt{2}} = 9\) cm.

The area of the square is \(a^2 = 9^2 = 81\) square cm.

Hence, the area of the square is 81 cm².

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