Question

the perimeter of a parallelogram is 170 cm . one of its sides is 5cm more than the other . find its sides of parallelogram .​

Answer 1

Explanation -:

Given :

• Perimeter of a parallelogram = 170 cm
• One of it's sides is 5 cm more than the other

To Find :

• Sides of the parallelogram

Solution :

Let us assume one side of a parallelogram as x cm

Then,

Other side of a parallelogram = (x + 5)cm

Now, Opposite sides of a parallelogram are equal

According To Question

$\small \rm\pmb{x + (x + 5) + x + (x + 5) = 170}$

$⟼\small\rm{4x + 10 = 170}$

$⟼ \small\rm{4x = 170 - 10}$

$⟼ \small\rm{4x = 160}$

$⟼\small\rm{x = \frac{160}{4} = 40}$

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

x = 40 cm

(x + 5) = 40 + 5 = 45 cm

Thus, sides of a parallelogram are 40 cm, 40 cm, 45 cm and 45 cm.