In Fig. 9.38, ABCD is a square with AB = 15 cm. Find the area of the square BDFE.

Given, side of square ABCD = 15cm
We know that diagonal of a square = √2 × side
∴ BD = √2 × 15 = 15√2 cm
Side of square BDFE = 15√2 cm
∴ Area of square BDFE = (15√2)2 =15√2 × 15√2 = 450 cm2
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