Assignment:
Anne decides to start a vegetable garden and buys 100m of wire netting to fence off a rectangular area from the rabbits.Assume that Anne uses an existing fence as one side of the rectangle, and the 100m netting for the other three sides.
- If x is the width of the rectangular garden, write an expression for the length of the garden in terms of x and find the formula for the area A of the garden in terms of x alone.
- Draw a graph of the area function including an appropriate domain and find at what value of x is the area a maximum.
- What dimensions should Anne make her vegetable garden to achieve the maximum area?
Provide complete and step by step solution for the question and show calculations and use formulas.