A farmer decides to enclose a rectangular garden, using the side of a barn as one of side the rectangle. What is the maxium area that the farmer can enclose with 80ft of fence? What should the dimensions of the garden be to give this area?
The maxium area that the farmer can enclose with 80ft of fence is ___ sq ft.
The dimensions of the garden to give this area is 40 ft by ___ft

Question

A farmer decides to enclose a rectangular garden, using the side of a barn as one of side the rectangle. What is the maxium area that the farmer can enclose with 80ft of fence? What should the dimensions of the garden be to give this area?
The maxium area that the farmer can enclose with 80ft of fence is ___ sq ft.
The dimensions of the garden to give this area is 40 ft by  ___ft

anonymous · Answer

The dimensions of the garden to give this area is 40 ft by  ___ft. Since it is given here 40ft. So do i use this value in the original problem? Is this the length of one side of the barn?

anonymous · Answer

Yes

anonymous · Answer

If we define $x$ in this manner, the other dimension of the garden takes on the value $80-2x$.  What is the area of the garden in terms of $x$? Now maximize it with respect to $x$.|dw:1338273411235:dw|