SOLUTION: 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 64 ft of&#

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Question 1114777: 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 64 ft of​ fence? What should the dimensions of the garden be to give this​ area?The maximum area that the farmer can enclose with 64 ft of fence is ______yd.
sq ft., ft or sq. yd.

The larger dimension of the garden to give this area is______ft, sq. ft, sq. yd.
and the smaller dimension is ______ft., sq ft. sq. yd.
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52798) About Me  (Show Source):
You can put this solution on YOUR website!
.
If you simply want to get the written solution from me with the filled blanks, ready for you to submit it further without thinking on it,
then you are not my student.

But if you want to learn how to solve such problems on your own, then specially for you there is the lesson in this site
    - A farmer planning to fence a rectangular area along the river to enclose the maximal area


Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
system%282x%2By=64%2CA=xy%29

A=x%2864-2x%29

x%2864-2x%29=0
x%2832-x%29=0
No area at x=0 and x=32;
Maximum area at 16=x.


Width 16, and Length 32 FEET
MAXIMUM area.