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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 area of the dog pen in square feet. What width gives you the maximum area? What is the maximum area?

Suppose you have 48 feet of fencing to enclose a rectangular dog pen The function A24xx2 where x width gives you the area of the dog pen in square feet What wid class=

Respuesta :

stevenslusser

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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