The length of a rectangle is 7 cm more than four times the width. If the perimeter of the rectangle is 44 cm, what are its dimensions?
L = 4W + 7
Perimeter = 2(L + W) ...so....
44 = 2 [ (4W + 7) + W ] simplify
44 = 2 [ 5W + 7 ] divide both sides by 2
22 = 5W + 7 subtract 7 from boh sides
15 = 5W divide both sides by 5
3 cm = W
And L = 4W + 7 = 4(3) + 7 = 12 + 7 = 19 cm
