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A Rectangular 450ft2450 \mathrm{ft}^{2} Family Room Addition Is to Be Built Using the Existing

Question 7

Multiple Choice

A rectangular, 450ft2450 \mathrm{ft}^{2} family room addition is to be built using the existing house for one of its walls. Find a function f(x) \mathrm{f}(\mathrm{x}) that would represent the total length of the other 3 walls that need to be built, where xx represents the length of the wall that will be parallel to the existing wall.


A) f(x) =2x+900xf(x) =2 x+\frac{900}{x}
B) f(x) =x+450xf(x) =x+\frac{450}{x}
C) f(x) =x+900xf(x) =x+\frac{900}{x}
D) f(x) =3x450xf(x) =3 x-\frac{450}{x}

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