The length of a rectangle is twice its width. if the perimeter is 72 meters, find the length and width of the rectangle

Length (l) = 2w

width (w) = w

Perimeter (P) = 2w+2l = 72 (simplify expression: divide each side by 2)

P = w+l = 36 (plug in "2w" for "l")

P = w + (2w) = 36

P = 3w = 36 (divide each side by 3 to find the width)

w = 12 units

find length:

l=2w

l = 2 (12)

l = 24 units

Answer:

The length of this rectangle is 24 units and the width is 12 units.