Solve the problem.
-Elissa wants to set up a rectangular dog run in her backyard. She has 24 feet of fencing to work with and wants to use it all. If the dog run is to be x feet long, express the area of the dog run as a function of x.

A) $A ( x ) = 11 x - x ^ { 2 }$
B) $A ( x ) = 13 x - x ^ { 2 }$
C) $A ( x ) = 14 x ^ { 2 } - x$
D) $A ( x ) = 12 x - x ^ { 2 }$

Question

Solve the problem.
-Elissa wants to set up a rectangular dog run in her backyard. She has 24 feet of fencing to work with and wants to use it all. If the dog run is to be x feet long, express the area of the dog run as a function of x.

A) $A ( x ) = 11 x - x ^ { 2 }$
B) $A ( x ) = 13 x - x ^ { 2 }$
C) $A ( x ) = 14 x ^ { 2 } - x$
D) $A ( x ) = 12 x - x ^ { 2 }$

Quizplus · Accepted Answer

The perimeter of the rectangle is 24 feet, so 2x + 2w = 24, where w is the width. Solving for w gives w = 12 - x. The area A is length times width, so A(x) = x(12 - x) = 12x - x^2.

Solve the Problem A(x)=11x−x2A ( x ) = 11 x - x ^ { 2 }A(x)=11x−x2

Solve the Problem $A ( x ) = 11 x - x ^ { 2 }$