Ron has 900 meters of fence and wants to enclose a rectangular region that contain four congruent rectangular pens within it. Ron will use all 900 meters of fence to create one large rectangle and four congruent rectangular pens within the larger rectangle. What will be the largest dimensions of the rectangle so as to enclose the largest possible area?
a) Include appropriate labels and identify them
b) Indicate the meaning of any variables in 'a', include domain restrictions if any.
c) create a one-variable function, A, for the area of the entire region.
d) apply knowledge to determine the dimensions of the region and the maximum area can enclose under these restrictions. Show all steps and justification