Question

one side of parallelogram is 3/4 times its adjact angles . if the perimeter of the parallelogram is 70 cm . find the sides of the parallelogram . ​

Answer 1

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Let the one of the side be x.

Then the adjacent side = ¾x

$\bf{Formula: }$

$Perimeter \: of \: parallelogram=2(a + b)$

$70 = 2 {\huge{(}}x + \frac{3}{4} x {\huge{)}} = 2{\huge{(}} \frac{7}{4} x {\huge{)}} = \frac{7}{2} x$

$x = \frac{ \cancel{70} \: {}^{10} \times 2}{ \cancel7} = 20$

Therefore,

x = 20

$\frac{3}{4} x = \frac{3}{4} \times 20 = 15$

The sides of the parallelogram are 20cm, 15cm, 20cm and 15cm.