Question

one side of a parallelogram is 3/4 times its adjacent side .if the perimeter of the parallelogram is 70cm. find the sides of the parallelogram.

Answer 1

two sides of parallelogram are x and 3/4x respectively. then it's perimeter = 2 ( x + 3/4x ) = 7x/2 = 70 = 7x = 70 ×2 = 7x = 140 = 140/ 7

Answer 2

✬Sides =20 cm , 20 cm , 15 cm , 15 cm✬

Step-by-step explanation:

Given:

• One side of a parallogram is 3/4 times of adjacent side.
• Perimeter of parallogram is 70 cm.

To Find:

• What is the measure of sides of parallogram ?

Solution: Let the measure of adjacent side of parallogram be x cm and measure of other side be y cm.

Therefore, another side will be

➟ y = 3/4 $\times$ x = 3x/4 cm...(1)

★ Perimeter of parallogram = 2( x + y ) cm ★

But perimeter = 70 cm

A/q

$\implies{\rm }$ 2 ( x + 3x/4 ) = 70

$\implies{\rm }$ 2 ( 4x + 3x/4 ) = 70

$\implies{\rm }$ 2 $\times$ 7x/4 = 70

$\implies{\rm }$ 14x = 70 $\times$ 4

$\implies{\rm }$ 14x = 280

$\implies{\rm }$ x = 280/14

$\implies{\rm }$ x = 20 cm

So,

➙ Measure of adjacent side = x = 20 cm

➙ Measure of other side = y = 3/4 $\times$ 20 = 3 x 5 = 15 cm

We know that in a parallogram opposite sides and equal and parallel so all side will be 20 cm , 20 cm , 15 cm , 15 cm