Asked by Anonymous

A rectangular lot is bordered on one side by a stream and on the other 3 sides by 600m of fencing. The area is a maximum. Determine the area.
What are the length and width of the lot with the maximum area.
State the domain.
State the range

Answered by Reiny
length of single side parallel to stream ----- y m
length of each of the other two sides --- x m
2x+y=600
y = 600-2x

area = xy = x(600-x) = -x^2 + 600x

At this stage, I expect you to know how to find the vertex of this downwards parabola.
Either my using Calculus, completing the square or some other method.
There are no AI answers yet. The ability to request AI answers is coming soon!