Question

The perimeter of a parallelogram is 180cm.One of its sides is greater than the other side by 10cm. find the length of smaller side of parallelogram.​

Answer 1

The perimeter of a parallelogram is 180 cm. If one of the sides is longer than the other by 10 cm.

So ,

1 St side be x

2nd side =x+10

Perimeter =2x+2(x+10)

180 = 2x + 2x + 20

180=4x+20

4x=160

x=160/4

x=40

Hence 1 St side is 40 and other is 50 cm

Answer 2

✯Answer

Smaller side = 40 cm

✯Step by step explanation

Given -:

• Perimeter of a parallelogram = 180 cm
• One of the sides is greater than the other by 10 cm.

To Find -:

• Length of smaller side of parallelogram

Solution -:

Let us assume Smaller side as x cm

Then, Longer side = (x + 10) cm

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

$\small\rm{ 2(x + x + 10) = 180}$

$⟹\small\rm{2(2x + 10) = 180}$

$⟹ \small\rm{4x + 20 = 180}$

$⟹ \small\rm{4x = 180 - 20}$

$⟹ \small\rm{4x = 160}$

$⟹ \small\rm{x = \frac{160}{4 } = 40}$

$\small \boxed{\rm{x = 40 }}$

Smaller side = 40 cm

Larger side = (x + 10) = (40 + 10) = 50 cm