A rectangular lot whose perimeter is $440 feet is fenced along three sides.An expensive fencing along the lot\'s lenght costs $16 per foot,and an inexpensive fencing along the two side widths costs only $11 per foot. The total cost of the fencing along the three sides comes to $4060. What are the lot\'s dimensions?
Solution
let W is the width lan L is the length of rectangle , then .............................................................................................................................................. 2*(W + L) = 440 ................................(1) ........................................... now according to given condition ,since the only one longer side is fenced and 2 shorter lengths are fenced , so total cost function will be given by ................................................................................................................................................................ 16 *L + 11 *2*W = 4060 ...................(2).............................................. solving above equations for W and L , we have ,W =90 foot and L = 130 foot .
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A rectangular lot whose perimeter is $440 feet is fenced along three s.docx
1. A rectangular lot whose perimeter is $440 feet is fenced along three sides.An expensive fencing
along the lot's lenght costs $16 per foot,and an inexpensive fencing along the two side widths
costs only $11 per foot. The total cost of the fencing along the three sides comes to $4060. What
are the lot's dimensions?
Solution
let W is the width lan L is the length of rectangle , then
.............................................................................................................................................. 2*(W +
L) = 440 ................................(1) ........................................... now according to given condition
,since the only one longer side is fenced and 2 shorter lengths are fenced , so total cost function
will be given by
............................................................................................................................................................
.... 16 *L + 11 *2*W = 4060 ...................(2).............................................. solving above
equations for W and L , we have ,W =90 foot and L = 130 foot .
