Question

two sides of a parallelogram are in the ratio 5:3 and its perimeter is 48 cm. Find the length of each of its sides.

Answer 1

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Answer 2

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$\red{\underline{SOLUTION}}$➡

$Given ,\\ \\ The \: \: ratio \: \: of \: \: the \: \: parallelogram \: \: is \: \: 5 : 3 \\ \\ The \: \: perimeter \: \:of \: \: the \: \: parallelogrm \: = 48 \: cm \\ \\ \\ Let ,\\ \\ The \: \: common \: \: multiple \: \: be \: \: x \\ \\So, \\ \\ Length \: \: of \: the \: \: parallelogram \: = 5x \: cm\\ \\ Breadth \: \: of \: \: the \: \: parallelogram \: = 3x \: cm \\ \\ \\ A.T.Q., \\ \\5x + 5x + 3x + 3x = 48 \\ \\ = > 16x = 48 \\ \\ = > x = \frac{48}{16} \\ \\ = > x = 3 \\ \\ \\ The \: \: length \: \: of \: \: the \: \: parallelogram \: =( 5 \times 3 ) \: cm= 15 \: cm \\ \\ Breadth \: \: of \: \: the \: \: parallelogram \: = (3 \times 3 ) \: cm= 9 \: cm$

$So, \\ \\ Length \: \: of \: \: each \: \:sides \: are = 15\: cm , 15 \: cm , 9 \: cm , 9\: cm$

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