A flower shop plans to make an outdoor garden sales area. It is in a rectangle on the main store. The garden area will be fenced on three sides and the fourth side will be the wall of the store. The area is about 8000 square feet, and all 300 feet of fencing must be used. Find the length and width of the garden. Round to the nearest foot.
L * W = 8000
L + 2 W = 300 ... L = 300 - 2 W
substituting ... 300 W - 2 W^2 = 8000
... W^2 - 150 W + 4000 = 0
use the quadratic formula to find W