A farmer is fencing his pasture. The fence posts will be 10 feet apart. The pasture is in the shape of a rectangle whose length is double its width. The farmer needs 126 fence posts. What is the width of his pasture?
A) 630 feet
B) 210 feet
C) 420 feet
D) 252 feet
E) 1260 feet

Question

A farmer is fencing his pasture. The fence posts will be 10 feet apart. The pasture is in the shape of a rectangle whose length is double its width. The farmer needs 126 fence posts. What is the width of his pasture? ​
A) 630 feet
B) 210 feet
C) 420 feet
D) 252 feet
E) 1260 feet

Quizplus · Accepted Answer

The perimeter of the rectangle is represented by the formula P = 2L + 2W, where L is the length and W is the width. Given that the length is double the width (L = 2W), we can substitute to get P = 2(2W) + 2W = 6W. Since each post is 10 feet apart, the total perimeter in feet is 126 posts * 10 feet/post = 1260 feet. Substituting into the perimeter formula gives 1260 = 6W, solving for W gives W = 210 feet.

A Farmer Is Fencing His Pasture