# 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

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 Click here to see ALL problems on Expressions-with-variables 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(3317)   (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.