Question

The perimeter of a parallelogram is 110 cm. One of its sides is greater than the other by 15cm. Find the length of all sides of the parallelogram.​

Answer 1

Answer:

Step-by-step explanation:

15*2=30

100-30=90

90/2=45

2 sides =45

other 2 sides =60

Answer 2

Answer :

Sides of parallelogram are 20cm , 35 cm , 20 cm ,35 cm.

Step by step explanation-

Given-

• The perimeter of parallelogram is 110 cm.
• One of its sides is greater than the other by 15cm.

To find-

• Length of all sides of parallelogram.

Solution-

Let one side of parallelogram be $\sf { x }$ cm.

Then, length of longer side is $\sf { ( x + 15 )}$ cm.

$↦$Perimeter of parallelogram = $\sf {2(x + 15) + 2x}$

= $\sf {(4x + 30)cm}$

As perimeter given = 110 cm

$\sf {∴4x + 30 = 110}$

$\sf {↦4x = 110 - 30}$

$\sf {↦4x = 80}$

$\sf {↦x = \frac{80}{4}}$

$\sf {↦x = 20cm}$

∴ Sides of parallelogram are

AD = BC = 20 cm

AB = DC = ( 20 + 15 ) cm = 35 cm.