Question

A rectangular lot whose perimeter is 290 ft290 ft is fenced along three sides. an expensive fencing along the​ lot's length cost $ 36$36 per foot. an inexpensive fencing along the two side widths costs only $ 6$6 per foot. the total cost of the fencing along the three sides comes to $ 4260$4260. what are the​ lot's dimensions

Answer 1

let the length be x, the width will be (95-x)
the total cost for the lengths will be:
36×x×2=$72x
Total for width will be:
2*6*(95-x)=1140-12x
total amount will be:
72x+1140-12x=4260
solving for x we get:
60x=4260-1140
60x=3120
x=52 ft
thus length=52ft
width=95-52=43 ft