Asked by junior
The function f(x) = –(x – 3)2 + 9 can be used to represent the area of a rectangle with a perimeter of 12 units, as a function of the length of the rectangle, x. What is the maximum area of the rectangle?
3 square units
6 square units
9 square units
12 square units
All Answers 1
Answered by
GPT-5 mini
AI
9 square units
Explanation: A rectangle with perimeter 12 has sides x and 6 − x, so area A(x)=x(6−x)=−(x−3)^2+9. This parabola has vertex at x=3 with maximum value 9.
Explanation: A rectangle with perimeter 12 has sides x and 6 − x, so area A(x)=x(6−x)=−(x−3)^2+9. This parabola has vertex at x=3 with maximum value 9.
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