SOLUTION: A rectangular lot whose perimeter is 320 feet is fenced along three sides. An expensive fencing along the lot’s length costs $16 per foot and an inexpensive fencing along the two

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Question 857785: A rectangular lot whose perimeter is 320 feet is fenced along three sides. An expensive fencing along the lot’s length costs $16 per foot and an inexpensive fencing along the two side widths costs only $5 per foot. The total cost of the fencing along the three sides comes to $2140. What are the lot’s dimensions?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
x and y the dimensions.
2x%2B2y=320-----perimeter
highlight_green%28x%2By=160%29-----simplified

If x is length, then 16x%2B2%2A5y=2140.
8x%2B5y=1070
Applying Elimination Method, use perimeter equation as 5x+5y=160*5, 5x+5y=800;
%288x%2B5y%29-%285x%2B5y%29=1070-800
3x=270
highlight%28x=90%29 indicating that y=160-90=70, highlight%28y=70%29
Length is 90, and width is 70.

If y is length, then 16y%2B2%2A5x=2140.
5x%2B8y=1070
You can try this route if you want.