Question 1194643: A farmer wants to build a rectangular pen next to the barn. the wall of the barn will serve as one side of the pen. The other 3 sides will be made from 420 feet of fencing the farmer wants to create the largest pen using these materials.
1- Draw a diagram of this situation showing and labeling the wall of the barn and the 3 sides made of fencing. Label the length and the width of the rectangular
2- write a quadratic equation in standard form that represents the area of the pen g(x) in terms of x, one of the sides of the pen.
3- find the vortex of the parabola algebraically using your equation.
Answer by ikleyn(52776)   (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.
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