A farmer has feet of fence with which to make a corral. If he arranges it into a rectangle that is twice as long as it is wide, what are the dimensions?
A)21 feet width and 42 feet long
B)36 feet width and 72 feet long
C)18 feet width and 36 feet long
D)28 feet width and 56 feet long
E)54 feet width and 108 feet long

Question

A farmer has  feet of fence with which to make a corral. If he arranges it into a rectangle that is twice as long as it is wide, what are the dimensions?
A)21 feet width and 42 feet long 
B)36 feet width and 72 feet long 
C)18 feet width and 36 feet long 
D)28 feet width and 56 feet long 
E)54 feet width and 108 feet long

Quizplus · Accepted Answer

Let x be the width of the rectangle. 
Then the length of the rectangle is 2x (because it is twice as long as it is wide). 
The perimeter of the rectangle is the sum of the lengths of all four sides, which is:
2(length + width) = 2(2x + x) = 6x

We know that the perimeter is 11ebfe7e_3415_f331_96cc_09fd75c7a39b_TBX8806_11 feet, so:
6x = 11ebfe7e_3415_f331_96cc_09fd75c7a39b_TBX8806_11 
x = 18.5

This means that the width of the rectangle is 18.5 feet, and the length is 2x = 37 feet. 
Therefore, the best choice is C, with dimensions of 18 feet width and 36 feet long.

A Farmer Has Feet of Fence with Which to Make