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Question

The length of the diagonal of a rectangle is 40 cm. If the length of its shorter side is 24 cm, find the length of its longer side(in cm).

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Solution

Let the length of the diagonal be d and sides of the rectangle be a and b

Thus, d2=a2+b2
402=242+b2
1600=576+b2
1024=b2
b=32cm
Length of longer side =32cm

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