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Question

The length of the diagonal of a rectangles are $3 x + 5$ and $50 - 6 x$ . Find length of each diagonal.

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Solution

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As lengths of diagonals of rectangles are equal
$\Rightarrow 3 x + 5 = 50 - 6 x$
$\Rightarrow 9 x = 45$
$\Rightarrow x = 5$
$\Rightarrow$ Length of diagonal $= 15 + 5 = 20$ .

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