Question

In a parallelogram, the ratio of the adjacent sides is 4: 5 and its perimeter is 72 cm then, find the sides of the parallelogram

Answer 1

16 cm, 20 cm, 16 cm, 20 cm (list of all four sides)

Explanation:

Denote one side as
`4x` and the other as
`5x`. It well-known that opposite sides of parallelogram are equal.

Then perimeter
`P = 4x + 4x + 5x + 5x` (sum of all sides).

We know that

`P = 72\ cm`. So

`4x + 4x + 5x + 5x = 72`

`18x = 72`

`x = 4`.

Now we can find sides:

first side:
`4x = 4\cdot 4 = 16`

second side:
`5x=`
`5\cdot 4 = 20`

Answer 2

16 cm and 20 cm

Explanation:

Ratio = 4:5

Perimeter = 72 cm

Condition:

2(4x)+2(5x) = 72

=> 8x+10x = 72

=> 18x = 72

Dividing both sides by 18

=> x = 4

Now, The lengths are:

=> 4(4) = 16 cm

=> 5(4) = 20 cm