Question

1 PERFORMANCE - Essay

Farmer Fernanda wants to put a fence around her rectangular field. The length of the field is 40 feet less
than 3 times the width. If she has 320 feet of fencing, what are the dimensions of the field?
Write a paragraph (at least 5 sentences) explaining how you solved the problem. Use correct
mathematical terminology.
Length:
Width:

Answer 1

Thus the length = 230 and width = 90.

Explanation:

Farmer Fernanda wants to put a fence around her rectangular field. The length of the field is 40 feet less than 3 times the width.

She has 320 feet of fencing.

Let the length of the rectangular fence be x and the width of the fence be y.

Then the relation between them is

x = 3y - 40

Also x + y = 320

Solving these equations,

320 - y = 3y - 40

4y = 360

y = 90

x = 230

Thus the length = 230 and width = 90.