The length of a rectangle is 4 ft less than three times the width, and the area of the rectangle is 55 ft2. Find the dimensions of the rectangle.
Let the length and with be l and w, respectivly.
l=3w-4
lw=55
Substitute for l
(3w-4)w=55
Looking at 55, an obvious factor pair is 5 and 11. This works.
w=5 and l=11
