Caitlin has 60 feet of material that can be used to make a fence. using this material, she wants to create a rectangular
pen for her dogs to play in. what dimensions will maximize the area of the pen?
a. let be the width of the rectangular pen in feet. write an expression that represents the length when the
width is feet.
b. define a function that describes the area, in terms of the width,
c. rewrite in vertex form.
d. what are the coordinates of the vertex? interpret the vertex in terms of the problem
e. what dimensions maximize the area of the pen? do you think this is a surprising answer?