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