54. A rectangular pen with a perimeter of 60 ft. is needed to house three pigs.

a) Determine an equation to model the area of this pen.

b) Using the TI-83 Plus, graph the relationship between the length of a side and the area of the rectangle. Make a window like the one below and fill in the missing window entries, then sketch the graph that your calculator displays for you.

WINDOW

X min = 0

X max =

X scl =

Y min =

Y max =

Y scl =

X res = 1

When you graph the relationship, use a grid like the following to sketch the curve (3 marks)

c) Determine the maximum area of the pen and the dimensions that yield the maximum area. (2 marks)