Question

A farmer wishes to enclose a pasture that is bordered on one side by a river (so one of the four sides won't require fencing). She has decided to create a rectangular shape for the area, and will use barbed wire to create the enclosure. There are 600 feet of wire available for this project, and she will use all the wire. What is the maximum area that can be enclosed by the fence? (Hint: Use this information to create a quadratic function for the area enclosed by the fence, then find the maximum of the function.)

Answer 1

Explanation:

Easier to just realize that the largest area will be a square

three sides of which will sum to 600 ft ( yes, a square is a rectangle)

600 / 3 = 200 ft per side

area is then 200 x 200 = 40 000 ft^2