Problema Solution
A rectangular lot whose perimeter is 300 ft is fenced along three sides. An expensive fencing along the lots length cost $24 per foot. An inexpensive fencing along the two sides widths cost only $4 per foot. The total cost of the fencing along the three sides comes to 2480. what are the lots dimensions.
Answer provided by our tutors
Let
l = the length
w = the width
A rectangular lot whose perimeter is 300 ft is fenced along three sides:
2l + 2w = 300
An expensive fencing along the lots length cost $24 per foot. An inexpensive fencing along the two sides widths cost only $4 per foot. The total cost of the fencing along the three sides comes to 2480.
24l + 4*2w = 2480 divide both sides by 8
3l + w = 310
by solving the system of equations
2l + 2w = 300
3l + w = 310
we find
l = 80 ft
w = 70 ft
click here to see the step by step solution of the system of equations
the length of the lot is 80 ft.
the width of the lot is 70 ft.