Answer:
A) w^2 +17w -308 = 0
B) (w -11)(w +28) = 0
C) length: 28 ft; width: 11 ft.
Explanation:
A)
If w is used to represent the width of the garden, then its length is w+17, and the relation to area is ...
w(w +17) = 308
w^2 +17w -308 = 0 . . . . the desired quadratic equation
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B)
The equation can be factored as ...
(w -11)(w +28) = 0 . . . . . the factored equation
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C)
The positive solution for w in the factored equation is w = 11. Then the length of the garden is ...
w +17 = 11 +17 = 28
The length and width of the garden are 28 feet and 11 feet, respectively.