Question

Q1: The ratio of two sides of a parallelogram is 3 : 5. If the perimeter is 64 cm, find the length of the sides of the parallelogram.
​

Answer 1

Let, the sides be:- 3x and 5x
So, a= 3x
b=5x
Also, given, perimeter = 64cm
We know that,
Perimeter of a parallelogram = 2(a+b
64= 2(3x+5x)
64/2= 3x+5x
32 = 8x
x= 32/8
Therefore, x= 4.
Hence, the sides are:- a= 3(4)= 12cm
And, b= 5(4)= 20cm.

Answer 2

Let one side be 5x and another side is 3x so opposite sides must be 5x and 3x because it's a parallelogram and thus opposite sides are same

Perimeter = sum of all side

64=5x+3x+5x+3x

64=16x

x=4

So sides of parallelogram are 20,12,20,12.