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Question
In the following figure, ABCD is a square with AB = 15 cm. Find the area of the square BDFE.
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Solution
Given, ABCD is a square and AB = 15 cm
∴ Diagonal of square ABCD = `sqrt(2)a`
= `sqrt(2) xx 15`
= `15sqrt(2)`cm
From the figure, diagonal of square ABCD is the side of square BDEF
∴ Area of the square BDFE = (Side)2
= `(15sqrt(2))^2`
= `15 xx 15 xx sqrt(2) xx sqrt(2)`
= 225 × 2
= 450 cm2
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