Question

The perimeter of a parallelogram is 48 meters. The width of the parallelogram is 4 meters less than its length. Find the length and the width of the parallelogram.

Answer 1

P=2l+2w
P=48
l=x
w=x-4

48=2(x)+2(x-4) --plug in
48=2x+2x-8 --distribute
48=4x-8 --combine like terms
56=4x --add 8 to both sides
14=x

length=14
width=10