Answer:
- length = 25 ft
- width = 42 ft
Step-by-step explanation:
If L represents the length, then the width is (2L-8) and the area is ...
A = LW
1050 = L(2L-8)
525 = L(L-4) . . . . . divide by 2
Completing the square, we have ...
525 +4 = L² -4L +4 . . . . . add the square of half the L coefficient
529 = (L -2)² . . . .simplify
±23 = L -2 . . . . . . take the square root
L = 25 . . . . . . . the negative root doesn't work in this scenario
(2L-8) = 42 . . . width
The length is 25 feet; the width is 42 feet.
