Question

the length of one side of a parallelogram is two over three times the length of its adjacent side if perimeter of the parallelogram is 20 cm find the sides of the parallelogram​

Answer 1

`A = 4`

`B = 6`

Explanation:

Let the two sides be A and B, such that:

`A = (2)/(3) * B`

`Perimeter = 20cm`

Required

Find A and B

The perimeter is calculated as:

`Perimeter = 2 * (A + B)`

Substitute
`(2)/(3) * B` for A and 20 for Perimeter

`20 = 2 * ((2)/(3) * B + B)`

`20 = 2 * ((2B)/(3) + B)`

Divide both sides by 2

`10 = (2B)/(3) + B`

Multiply both sides by 3

`3 * 10 = 3 * ((2B)/(3) + B)`

`30 = 2B + 3B`

`30 = 5B`

Solve for B

`B = (30)/(5)`

`B = 6`

Recall that:

`A = (2)/(3) * B`

`A = (2)/(3) * 6`

`A = 2 * 2`

`A = 4`

Hence, the lengths of the sides are 4 cm and 6 cm