each diagonal of a square is 12cm long its area is
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Step-by-step explanation:
We know, diagonal of a square = √2 a , where a = side of the square.
So, √2 a = 12cm
=> a = 12/√2
=> a = (12×√2)/(√2×√2) [Rationalising the denominator]
=> a = 12√2/2
=> a = 6√2 cm
Therefore, area of the square = 6√2 × 6√2 cm²
= 72 cm²
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