Jimmy is wanting to fence a rectangular area of his land along Elm Creek. He will only need to fence 3 sides. If Jimmy has 2000 ft of fencing and wants to enclose the largest possible area, determine the dimensions of the rectangular plot. Hint: Write an Area function in terms of x, the width of the lot. Draw a diagram and label. Also, draw a rough sketch of the Area function.

2 answers

Closest to a square is largest area.

2000/3 = ?
the largest area is when the fence is divided equally among lengths and widths.

so, 1000 for the length, 1000 for the two widths.

The largest area is 1000x500

using the hint,

A = w(2000-2w)