The length of a diagonal of a square is 10. T | vedclass

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(B) Let the side of the square be $a$ and the diagonal be $d$.The formula for the diagonal of a square is $d = a\sqrt{2}$.Given $d = 10$,we have $a\sq

Vedclass · Accepted Answer

$50$

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(B) Let the side of the square be $a$ and the diagonal be $d$.The formula for the diagonal of a square is $d = a\sqrt{2}$.Given $d = 10$,we have $a\sqrt{2} = 10$.Therefore,$a = \frac{10}{\sqrt{2}} = 5\sqrt{2}$.The area of a square is given by $Area = a^2$.$Area = (5\sqrt{2})^2 = 25 	imes 2 = 50$.Alternatively,the area of a square can be calculated using the diagonal as $Area = \frac{1}{2} 	imes d^2$.$Area = \frac{1}{2} 	imes (10)^2 = \frac{1}{2} 	imes 100 = 50$.

The length of a diagonal of a square is $10$. Then,its area is......

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