Question

Sides of a parallelogram are in the ratio 3:5 if it's perimeter is 1680 find the sides of parallelogram
please answer​

Answer 1

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

Sides of parallelogram are 315cm and 525cm

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

Given:

• Sides of parallelogram are in ratio 3:5
• Perimeter of parallelogram = $\sf{{1680cm}^{2}}$

To find:

• Sides of parallelogram

Solution:

Let the sides of parallelogram be 3x , 5x

We know that,

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

⇒1680 = 2( 3x + 5x )

⇒1680 = 2 ( 8x )

⇒1680 = 16x

⇒x = $\rm\frac{1680}{16}$

⇒x = 105

___________________________

★ 3x = 3 × 105

= $\sf\fbox{315}$

___________________________

★ 5x = 5 × 105

= $\sf\fbox{525}$

∴ Sides of parallelogram are 315cm and 525cm

___________________________

$\mathfrak{\underline{\underline{Verification:}}}$

Perimeter of parallelogram = 2(a+b)

1680 = 2(315 + 525)

1680 = 840 × 2

1680 = 1680