Question

each diagonal of a square is 12cm long its area is​

Answer 1

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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