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

$8=x$

$The longer side is$

$8+6=14$ meters