Solve the problem.
-Bob wants to fence in a rectangular garden in his yard. He has 64 feet of fencing to work with and wants to use it all. If the garden is to be $x$ feet wide, express the area of the garden as a function of $x$.
A) $\mathrm { A } ( \mathrm { x } ) = 33 \mathrm { x } - \mathrm { x } ^ { 2 }$
B) $A ( x ) = 31 x - x ^ { 2 }$
C) $A ( x ) = 34 x ^ { 2 } - x$
D) $A ( x ) = 32 x - x ^ { 2 }$

Question

Quizplus · Accepted Answer

The perimeter of the rectangle is given as $2x + 2y = 64$, where $x$ is the width and $y$ is the length. Solving for $y$, we get $y = 32 - x$. The area $A$ of the rectangle is $xy$, substituting $y$ gives $A(x) = x(32 - x) = 32x - x^2$.

Solve the Problem xxx Feet Wide, Express the Area of the Garden as a Garden

Solve the Problem $x$ Feet Wide, Express the Area of the Garden as a Garden