Question

Find the measure of the sides of the parallelogram , if its perimeter is 48 cm and one side is two times longer than the other ?

Answer 1

Measure of the sides of the given parallelogram is `color(brown)(l = 16, w = 8)`

Explanation:

Perimeter of a parallelogram is `P = 2 (l + w)` where l is the length and w the width.

Given P = 48, l = 2w.

`:. P = 48 = 2 * (l + w) = 2 * (2w + w) = 2 * 3w = 6w`

`cancel( 6)w = cancel(48) 8 or w = 8`

`l = 2w = 2 * 8 = 16` or