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Parallelograms

The ratios of...

Question

The ratios of two sides of a parallelogram is 3:5 and its perimeter is 48m, then the sides of the parallelogram are?

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Solution

The ratio of two sides of parallelogram is 3 : 5 and its perimeter is 48 cm.
Let length =3x then breadth = 5x (l >b)
Perimeter = 2 (1 + b) = 48 cm
$\Rightarrow 2 (3 x + 5 x) = 48 \Rightarrow 8 x = 24 \Rightarrow x = 3 l = 3 x = 9 c m t h e n b = 5 x = 15 c m$
Then sides are 15 cm, 9 cm,15cm, 9 cm.

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