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7 July, 07:08

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?

A) 3 square units

B) 6 square units

C) 12 square units

D) 9 square units

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  1. 7 July, 07:18
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    D) 9 square units

    Step-by-step explanation:

    The squared term will always be non-negative, so the least it can be is zero (for x=3). The squared term is subtracted from 9, so the most the function value can be is 9.

    The maximum area of the rectangle is 9 square units.
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