Asked by ddot
A college is planning to construct a retangular parking lot on land bordered on one side by a highway. The plan is to use 680 feet of fencing to fence off the other three sides. What dimensions should the lot have if the enclosed area is to be a maximum?
Answers
Answered by
Reiny
Let the side parallel to the highway be y ft
let each of the other two sides be x ft
So 2x + y = 680
y = 680-2x
area = xy = x(680-2x) = 680x - 2x^2
which is a parabola opening downwards, and you want its vertex.
Since you are doing this type of question, you must have learned how to find the vertex.
Go for it.
let each of the other two sides be x ft
So 2x + y = 680
y = 680-2x
area = xy = x(680-2x) = 680x - 2x^2
which is a parabola opening downwards, and you want its vertex.
Since you are doing this type of question, you must have learned how to find the vertex.
Go for it.
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