SOLUTION: A farmer wished to fence in a field with an area of 4100ft2, with a fence in the middle dividing the field into two areas. He then wants to put in a gate on one side of the field,

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Question 1065149: A farmer wished to fence in a field with an area of 4100ft2, with a fence in the middle dividing the field into two areas. He then wants to put in a gate on one side of the field, and another gate in the middle fence with each gate having a width of g=5ft. If the fencing costs $10 per foot, express the cost of the fencing C as a function of the width w. Do not include the lengths of the gates.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
I'll take a shot at it
+A+=+4100+ ft2
Let +w+ = the width of the field
The length is +4100+%2F+w+
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The circumference is
+2%2A%28+4100+%2F+w+%29+%2B+2w+
Then, minus the 2 gates is:
+8200%2Fw+%2B+2w+-+10+
The cost, +C+, at +10+ /ft is:
+C+=+82000%2Fw+%2B+20w+-+100+
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Check my math & get another opinion if possible