Solve the problem.
-Bob wants to fence in a rectangular garden in his yard. He has 82 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) $A ( x ) = 43 x ^ { 2 } - x$
B) $A ( x ) = 41 x - x ^ { 2 }$
C) $A ( x ) = 40 x - x ^ { 2 }$
D) $A ( x ) = 42 x - x ^ { 2 }$

Question

Solve the problem.
-Bob wants to fence in a rectangular garden in his yard. He has 82 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) $A ( x ) = 43 x ^ { 2 } - x$
B) $A ( x ) = 41 x - x ^ { 2 }$
C) $A ( x ) = 40 x - x ^ { 2 }$
D) $A ( x ) = 42 x - x ^ { 2 }$

Quizplus · Accepted Answer

The perimeter of the rectangle is given as $2x + 2y = 82$, where $x$ is the width and $y$ is the length. Solving for $y$, we get $y = 41 - x$. The area of the rectangle is $A = xy$, substituting $y$ gives $A(x) = x(41 - x) = 41x - x^2$.

Solve the Problem A(x)=43x2−xA ( x ) = 43 x ^ { 2 } - xA(x)=43x2−x

Solve the Problem $A ( x ) = 43 x ^ { 2 } - x$