Question

Two side of a parallelogram are in the ratio 4:3.if its perimeter is 56 cm,find the lengths of its sides.

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Answer 1

${\mathfrak{\color{black}\underline{\underline{Answer:}}}}$

The lengths of parallelogram are 16cm and 12cm

${\mathfrak{\color{black}\underline{\underline{Explanation:}}}}$

Given:

• Sides of parallelogram are in ratio 4:3
• Perimeter of parallelogram = $\sf{56cm}^{}$

To find :

Sides of parallelogram

Solution:

Let the sides of parallelogram be 4x and 3x

We know that,

$\rm\fbox{Perimeter\: of \:parallelogram\: = 2(a+b)}$

⇒56 = 2(4x + 3x)

⇒56 = 2(7x)

⇒14x = 56

⇒x = 56/14

x = 4

★ 4x = 4 × 4

$\qquad$ = 16

★ 3x = 3 × 4

$\qquad$ = 12

∴ The sides of parallelogram are 16cm and 12cm.

___________________________

${\mathfrak{\color{black}\underline{\underline{</strong><strong>Verifi</strong><strong>cation</strong><strong>:</strong><strong>}}}}$

Perimeter of parallelogram = 2(a+b)

$\qquad\qquad\qquad\qquad$ = 2( 16 + 12 )

$\qquad\qquad\qquad\qquad$ = 2(28)

$\qquad\qquad\qquad\qquad$ = 56

Answer 2

Answer:

16cm,12cm

Step-by-step explanation:

Let the sides of parallelogram=4x,3x

A.T.Q

2(3x + 4x) = 56

( 7x )= 28

x = 4

Sides = 16cm,12cm

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