Question

Two adjacent angles of parallelogramare in the ratio 5:3the perimeter of the parellogramis48.Find the length of each ofitssides

Answer 1

$\sf{\huge{Heya \: mate.\\ Solution\: below}}$
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★ $<b><u><font color = "red">Answer - ↓↓↓</font color></u></b>$ ★




♠ Let the length (l) of the parallelogram be 5x.

And, breadth (b) be 3x.



♠ Then, the perimeter of the rectangle would be,

$\sf{= 2(l + b)}$

$\sf{= 2(5x + 3x)}$

$\sf{= 2 \times 8x}$

$\sf{= 16x}$



♠ But, given Perimeter = 48 cm.

$\sf{=⟩ 16x = 48}$

$\sf{=⟩ x = \frac{48}{16}}$

$\sf{=⟩ x = 3}$



♠ Then,

$\sf{Length\: = \: 5x\: =\: 5(3) \: = \:15 \:cm}$

$\sf{Breadth \: = \: 3x\: = \: 3(3) \: = 9 \:cm}$



♥ •°• The sides of the parallelogram are 15 cm, 9 cm, 15 cm, 9 cm. ♥
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Thank you... (^_-)