Suppose you have 48 feet of fencing to enclose a rectangular dog pen. The function A=24x-x^2, where x = width, gives you the are a of the dog pen in square feet. What width gives you the maximum area? What is the maximum area?
1 answer:
Answer:
Width: 12 ft
Maximum area: 144 ft²
Step-by-step explanation:
A = 24x – x²
A = –x² + 24x
A = –(x² – 24x)
A = –(x² – 24x + 144 ) + 144
A = –(x – 12)² + 144
Therefore, the maximum area of 144 ft² occurs at x = 12 ft.
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