Algebra/Mathematics - Cost of Fencing a Garden

As a property owner, you want to fence a garden which is adjacent to a
road. The fencing next to the road must be stronger and cost $6 per
foot. The fencing on the other sides cost $4 per foot. The area of
garden is 2400 square feet.

Draw several diagrams to express the situation and calculate the
cost for each configuration, and then estimate the dimension of minimum
cost.
Find the function that represents the cost in terms of one of its sides.
Using the graphing utility, graph this cost function
Find the dimension that minimizes the cost of fencing and compare this with your estimate based the diagram you made.

When graphing, it can be done either electronically or handwritten. Either works for me! Sources are not needed nor any style, but it must be 2-3 pages in length that includes all four of these steps. Please make sure that it is only with college algebra.

Sample Solution