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:

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Thus the length = 230 and width = 90.

Step-by-step 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.

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