Dora wants to build a rectangular corral for her horse. Three sides of the corral be wooden fencing. The wall of the canyon will form the forth side. Dora has 200ft of fencing and wants to build the largest corral possible.
a. Express the area as a function of the width. Is A(w) a quadratic function?
b. Graph (post a pic) A(w). What values of w and l maximize the corral’s area? What is the maximum area?
c. suppose Dora’s corral does not have to be rectangular. Does the corral whose dimensions you found in part (b) still have the maximum possible area?