Choose the one alternative that best completes the statement or answers the question.
Solve the problem.
-A rectangular horse pen is to be fenced and divided into five partitions as shown. The length of the fenced-in area is to be twice the width, and the total amount of fencing to be used is 250 feet. Find
The length and width of the fenced-in area.

A) length = 55.6 feet, width = 27.8 feet
B) length = 22.4 feet, width = 11.2 feet
C) length = 27 feet, width = 25 feet
D) length = 50 feet, width = 25 feet

Question

Choose the one alternative that best completes the statement or answers the question.
Solve the problem.
-A rectangular horse pen is to be fenced and divided into five partitions as shown. The length of the fenced-in area is to be twice the width, and the total amount of fencing to be used is 250 feet. Find
The length and width of the fenced-in area.

A) length = 55.6 feet, width = 27.8 feet 
B) length = 22.4 feet, width = 11.2 feet 
C) length = 27 feet, width = 25 feet 
D) length = 50 feet, width = 25 feet

Quizplus · Accepted Answer

Let the width of the fenced-in area be x. Then the length of the fenced-in area is 2x. There are five partitions, so the total length of fencing needed is the perimeter of the rectangular area plus twice the width. This gives:
250 = 2(2x + x) + 5x
Simplifying and solving for x, we get:
x = 25
So, the width is 25 feet and the length is 2(25) = 50 feet. Therefore, the answer is D.

Choose the One Alternative That Best Completes the Statement or Answers