Question

Two adjacent sides of a parallelogram are in the ratio of 3:2. The perimeter of it is 72cm. Find the length of each of its sides?

Answer 1

21.6cm and 14.4cm

Explanation:

Let one side be `3x` and the other `2x`

This makes the perimeter `=>` `3x+2x+3x+2x=72`

`10x=72`

`x=7.2`

`3xx7.2=21.6`

`2xx7.2=14.4`

Answer 2

The longer sides are 21.6cm in length and the shorter sides are 14.4cm in length.

Explanation:

As the opposite sides of a parallelogram are equal in length...

the perimeter for a parallelogram is the sum of it`s sides. So, the equation would be as follows.

`3x+2x+3x+2x=72cm`

this would be...

`10x=72cm`

solving for x...

`x=72/10`

which is... `x=7.2`

now we substitute the value of 'x' in...

`3x+2x+3x+2x=72cm`

we see...

`3(7.2)+2(7.2)+3(7.2)+2(7.2)=72cm`

i.e...

`21.6+14.4+21.6+14.4=72cm`

hence the lengths for each sides are as follows...

1. 21.6cm
2. 14.4cm
3. 21.6cm
4. 14.4cm