SOLUTION: A rectangular lot whose perimeter is 420 feet is fenced along three sides. An expensive fencing along the lot's lenght costs $17 per foot, and an inexpensive fencing along the two

Question 743347: A rectangular lot whose perimeter is 420 feet is fenced along three sides. An expensive fencing along the lot's lenght costs $17 per foot, and an inexpensive fencing along the two side widths costs only $8 per foot. The total cost of the fencing along the three sides comes to $3470. What are the lot's dimensions?
Solve the problem above.
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Length and width assigning not really important except to be consistant with how assigned and used.

Taking either dimension as L for "length" and then W for width,
The whole rectangle is as .

You could then choose fencing costs of 17*L and 2*8W, so this combined cost for those THREE sides would be .

The system based on that is:
and .

Solving the perimeter equation for W and substituting into the cost equation gives (try doing this on your own) feet.
Using this in the formula used for W gives feet.
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