Question

The longer side of a parallelogram is 6 meters longer than the shorter side. The perimeter is 44 meters. What is the length of the longer side?

Answer 1

Let the shorter side be

`x` metres

The the longer longer side is


`x +6`meters

The perimeter is the distance around the figure.


`44= x +x+ (x+6) + (x+6)`

This implies that


`44= x +x +x+x+6 + 6`


`44=4x+12`

Group like terms


`44-12=4x`


`32=4x`

Divide both side by 4 to get


`8=x`


`<B> The longer side is</B>`


`8+6=14` meters