Question

The perimeter of a parallelogram is 160 cm. If one of the sides is longer than the other by 20
cm, then find the length of each of its sides.
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Answer 1

Answer :

• One side = 30cm.
• Another side = 50cm.

Explanation :

Let's say one side as $\boldsymbol x$ cm

Then, another side will be $\boldsymbol {(x + 20)}$ cm

We know that,

Perimeter of a parallelogram : 2(l + b)

Where,

• l(length) = $\boldsymbol x$ cm
• b(breadth) = $\boldsymbol{(x + 20)}$ cm
• perimeter = 160cm.

$\therefore \boldsymbol{2(x + x + 20)= 160}$

${\boldsymbol{\implies { 2(2x + 20) = 160}}}$

${\boldsymbol{\implies { 2x + 20 = \dfrac{160}{2} }}}$

${\boldsymbol{\implies { 2x + 20 = 80}}}$

${\boldsymbol{\implies { 2x = 80 - 20}}}$

${\boldsymbol{\implies {2x = 60 }}}$

${\boldsymbol{\implies { x = \dfrac{60}{2} }}}$

${\boldsymbol{\therefore { x = 30}}}$

Hence, length of

• One side = $\boldsymbol x$ = 30cm.
• Another side = $\boldsymbol{ (x + 20)}$ = 50cm.

Answer 2

Step-by-step explanation:

I hope this will help you ❤️