Assignment:
Justin wants a fence three sides of a rectangular exercise yard for his dog. The fourth side of the exercise yard will be a side of the house. Justin has 80 feet of fencing available. (recall: area of a rectangle =length *width). One side is x and another is 80-2x
- Write an equation to represent the area of the exercise yard.
- Find the dimensions of the exercise yard that will enclose the maximum area.
Provide complete and step by step solution for the question and show calculations and use formulas.