Having difficulty with finding the right answer, shown work would be much appreciated!

9. (15 points) Doubleyolk poultry farm needs to build a set of 6 coops for the upcoming season (as shown below). They have 800 feet of plywood fence available, and they want to give the chickens as much room to move around as possible. They started to figure out what dimensions they should use for the coops, but they got distracted by a chicken emergency before they could finish their work. Use the picture below that they developed to find the dimensions they should use to build the coops. Knowing that Doubleyolk farm targets to maximize the area for each coop for chickens to move around, x y a. Write the total coop area as a function of "X". A( X)= b. What will be the dimensions of each coop? (Hint: This is not "x" and 'y", the coops are the small sections)