Question

0) The perimeter of the parallelogram is 150cm.
one of its side is greater than the other by 35cm.
find the lengths of the sides of the parallelogram.​

Answer 1

Answer:

Base = 20 cm

Side = 55 cm

Step-by-step explanation:

Given :

Perimeter of the parallelogram = 150 cm

One side is greater that the other by 35 cm

To find :

The length of the sides of the parallelogram

Taken :

To find the length of the sides of the parallelogram use this formula -:

$\boxed{\sf{P=(a+b)}}$

Where,

P = Perimeter

a = Side

b = Base

Let the side be x+35cm

Let the base be x

Solution :

$:\implies\sf{150cm=2(x+35cm+x)}$

$:\implies\sf{150cm=2x+70cm+2x}$

$:\implies\sf{150cm=2x+2x+70cm}$

$:\implies\sf{150cm=4x+70cm}$

$:\implies\sf{150cm-70cm=4x}$

$:\implies\sf{80cm=4x}$

$:\implies\sf{\cancel{\dfrac{80cm}{4}}=x}$

$:\implies\sf{20cm=x}$

So , the base of the parallelogram is 20cm .

Side -:

$:\implies\sf{x+35cm}$

$:\implies\sf{20cm+35cm}$

$:\implies\sf{55cm}$

So , the length of the side of the parallelogram is 55 cm .