A farmer decides to enclose a rectangular garden, using the side of a barn as one side of the rectangle. What is the maximum area that the farmer can enclose with 100 ft. of fence? What should the dimensions of the garden be to give this area?

Question

The max. area that the farmer can enclose with 100 ft of fence is ___sq ft.
The dimensions of the garden to give this area is 50 ft by ___ ft.

Answer 1

Perimeter = 2L + 2W

One of these sides is made up of the barn, so you can eliminate either one L or one W. A square ordinarily would give you the maximum area, but the side of the barn used can vary without adding to the fence used.

If one side is 50, the other two sides would be 25 to form a rectangle. From that, you can determine the area.

Answer 2

A farmer has a rectangular pasture with dimensions x by 2x. If he places posts 15 ft. apart, how will he represent the distance between each post on the shorter side? on the longer side?

Answer 3

the area of the pool is 750 sq. ft. one side is 30 feet long . how long is other side

Answer 4

A farmer decides to enclose a rectangular garden, using the side of a barn as one side of the rectangle. What is the maximum area that the farmer can enclose with 120 ft. of fence? What should the dimensions of the garden be to give the farmer the max area?

Can not use calculus

Answer 5

What are the dimensions of the largest rectangular field that can be enclosed with 100m of wire?