Question

the length of a parallelogram is 5 cm longer than its breadth if its perimeter is 42 cm find the sides​

Answer 1

${\large{\underbrace{\underline{\bf{Required\;Solution:-}}}}}$

${\underline{\underline{\frak{\green\dag\:Given:}}}}$

• Given figure is a parallelogram.
• The length is 5 cm longer than it's breadth.
• The perimeter = 42 cm

${\underline{\underline{\bf{Answer:}}}}$

Let the breadth of the parallelogram be x.

So,

• Length of parallelogram = x+5

We know that,

$\odot \: \boxed{ \sf{Perimeter _{\:Parallelogram} = 2(Length + Breadth)}}$

Put the values..

$\colon \rightarrow \sf \: \cancel{42} \: cm = \cancel2 \{x +( x + 5) \} \\ \\ \colon \rightarrow \sf \: 21 = 2x + 5 \\ \\ \colon \rightarrow \sf \: 2x = 21 - 5 \\ \\ \colon \rightarrow \sf \: \cancel2x = \cancel{16} \\ \\ \colon \rightarrow \sf \: \underline{ \boxed{ \bf{ \purple{x = 8}}}}$

So,

$\mapsto \rm \: Breadth = x \: cm \\ \\ \leadsto \: \underline{ \boxed{ \tt{ \pink{Breadth = \bf 8 \: cm}}}}$

$\mapsto \rm \: Length = x + 5 \: cm \\ \\ \leadsto \: \underline{ \boxed{ \tt{ \red{Length = \bf 13 \: cm}}}}$

★ Sides → 13 cm & 8 cm.

_____________________________

Answer 2

$\huge\sf\color{red}\underline{Question}$

The length of a parallelogram is 5 cm longer than its breadth if its perimeter is 42 cm find the sides.

$\huge\sf\color{blue}\underline{Solution}$

$Given$

• Given figure is a parallelogram.
• The length is 5cm longer that it's breadth.
• Perimeter = 42cm

$Answer$

Let the breadth of the parallelogram = x

So, length of parallelogram = $x+5$

We know that,

Perimeter of parallelogram = $2(l+b)$

=> 42cm = 2{x+(x+5)}

=> 21 = 2x + 5

=> 2x = 21-5

=> 2x = 16

=> x = $\dfrac{16}{2}$

=> x = 8

So,

• $Breadth=8cm$
• $Length=x+5 = x +8= 13cm$

$Sides\;are\;13cm\;and\;8cm$