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(C) Let the sides of the rectangle be $l = 7 	ext{ cm}$ and $w = x 	ext{ cm}$.Given the diagonal $d = 25 	ext{ cm}$.In a rectangle,the diagonal for

Vedclass · Accepted Answer

$62$

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(C) Let the sides of the rectangle be $l = 7 	ext{ cm}$ and $w = x 	ext{ cm}$.Given the diagonal $d = 25 	ext{ cm}$.In a rectangle,the diagonal forms a right-angled triangle with the sides. By the Pythagorean theorem:$l^2 + w^2 = d^2$$7^2 + x^2 = 25^2$$49 + x^2 = 625$$x^2 = 625 - 49$$x^2 = 576$$x = \sqrt{576} = 24 	ext{ cm}$.The perimeter of a rectangle is given by $P = 2(l + w)$.$P = 2(7 + 24)$$P = 2(31) = 62 	ext{ cm}$.

If the length of one side and the diagonal of a rectangle are $7 \text{ cm}$ and $25 \text{ cm}$ respectively,then find its perimeter (in $\text{cm}$).

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