Question

If the ratio of adjacent sides of a parallelogram is 3:5 and its perimeter is 320 cm, then the length of the longer side will be.​

Answer 1

Step-by-step explanation:

We Have :-

A parallelogram with adjacent sides ratio 3 : 5

Perimeter = 96 cm

To Find :-

Length of each side

Formula Used :-

Perimeter = 2 ( side₁ + side₂ )

Solution :-

Let the sides be 3x and 5x

2 ( 3x + 5x ) = 96

2 ( 8x ) = 96

8x = 96 / 2

8x = 48

x = 48 / 8

x = 6

Side₁ = 3x = 3 * 6 = 18 cm

Side₂ = 5x = 5 * 6 = 30 cm

Answer 2

Answer:

Perimeter of parallelogram = 320 cm.

Sum of adjacent sides = 160 cm = 3x+5x = 8x, or x = 20.

The longer side of the parallelogram = 100 cm and the shorter side is 60 cm.