Answer:
A. A = W(W + 5)
B. W*(W + 5) = 104
C. Width = 8 feet
D. The length = 13 feet.
Step-by-step explanation:
A. Let,
The width of a rectangular flower garden is W feet;
The length of a rectangular flower garden is W+5 feet.
We know, The area of a garden = (Length x Width) = W (W+5)
According to the question, the equation in terms of width for the area -
A = W(W + 5) ......... (i)
B. Given,
The area of the garden = 104 square feet.
According to the question,
W*(W + 5) = 104
C. Solving the equation found in requirement B.
W*(W + 5) = 104
W^2 + 5W = 104
W^2 + 5W - 104 = 0
W^2 + 13W - 8W - 104 = 0
W(W + 13) - 8(W + 13) = 0
(W + 13) (W - 8) = 0
W = -13 or W = 8
The negative value of width is not acceptable, therefore, W = -13 is not the width.
The width = 8 feet
D. Therefore, the width is, W = 8 feet.
The length of a rectangular flower garden is W + 5 = 8 + 5 feet
The length = 13 feet.
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