SOLUTION: A rectangular garden is to be constructed against the side of a garage. The gardener has 100 feet of fencing, and will construct a three- sided fence; the side of the garage will

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Question 1181993: A rectangular garden is to be constructed against the side of a
garage. The gardener has 100 feet of fencing, and will construct a three-
sided fence; the side of the garage will form the fourth side.
1. If the width of the garden is x feet, then the length of the garden is
____.
2. What is the area of the garden in terms of x?
3. What dimensions will give the garden of greatest area?

Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.

It is a classic problem on finding optimal dimension.

This problem was solved  MANY  TIMES  in this forum.

Therefore,  I created a lesson at this site,  explaining the solution in all details.

The lesson is under this link
    - A farmer planning to fence a rectangular area along the river to enclose the maximal area

Read this lesson attentively.
Consider it as your  TEMPLATE.
Having this template in front of you,  solve the  GIVEN  problem by the same way.

Having it written one time,  I do not see any reasons to re-write it again and again with every new posted data set.

By the way,  in the lesson,  you will find many useful links to accompanied lessons.
Do not miss them.

Consider my lessons as your textbook,  handbook,  tutorial and  (free of charge)  home teacher.