A farmer needs to fence a rectangular piece of land. She wants the length of the field to be 80 feet longer than the width. If she has 1160 feet of fencing material, what should be the length and the width of the field?
A) length = 330 feet; width = 250 feet
B) length = 280 feet; width = 200 feet
C) length = 380 feet; width = 300 feet
D) length = 430 feet; width = 350 feet
E) length = 230 feet; width = 150 feet

Question

A farmer needs to fence a rectangular piece of land. She wants the length of the field to be 80 feet longer than the width. If she has 1160 feet of fencing material, what should be the length and the width of the field? ​
A) length = 330 feet; width = 250 feet
B) length = 280 feet; width = 200 feet
C) length = 380 feet; width = 300 feet
D) length = 430 feet; width = 350 feet
E) length = 230 feet; width = 150 feet

Quizplus · Accepted Answer

Let x be the width of the field. Then the length is x + 80. The perimeter of the field is 2x + 2(x + 80) = 4x + 160. Since the farmer has 1160 feet of fencing material, we have 4x + 160 = 1160. Solving for x, we get x = 250. Therefore, the width of the field is 250 feet and the length is 250 + 80 = 330 feet.

A Farmer Needs to Fence a Rectangular Piece of Land