Question

The perimeter of a parallelogram is 32 meters and the two shorter sides each measure 4 meters. What is the length of each of the longer sides?

Answer 1

length of each longer side`=12` `m`

Explanation:

Since a parallelogram has `4` sides, this means that we can represent the length of one longer side as `color(orange)x` and the length of two longer sides as `color(green)(2x)`. These variables can be written into an equation where the lengths can be solved for. So:

Let `color(orange)x` be the length of one longer side.

`4+4+color(orange)x+color(orange)x=32`
`8+color(green)(2x)=32`
`8` `color(red)(-8)+2x=32` `color(red)(-8)`
`2x=24`
`2xcolor(red)(-:2)=24color(red)(-:2)`
`color(orange)x=12`

`:.`, the length of each of the longer sides is `12` `m`.