Answer:
Step-by-step explanation:
w = width
3w = three times the width
3w-7=7 feet less than three times the width
l = length = 3w-7
A=length × width (lw)
66 = (3w-7) × (w)
66 = 3w^2 - 7w
3w^2 - 7w -66 =0
factor
3 = 3 × 1 and 66 = 6 × 11,
6 × 3 = 18, 11 × 1 = 11, 18 - 11 = 7
(3w )(w )=0 so far
(3w )(w 6)=0 so far
(3w 11)(w 6)=0 so far
(3w+11)(w-6)=0
w-6=0
w=6
3w=3*6=18
3w-7=3*6-7=18-7=11
w=6 feet
l=11 feet
