A farmer is enclosing three identical rectangular areas for pens as shown below. using 56 feet of total fencing.

The total area enclosed by all three of the pens is 96 square feet.

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(a) Write an equation, based on the amount of fencing, that

relates the variables x and y, the overall dimensions.

(b) Write an equation, based on the total area, that also x

relates the variables x and y.

(c) Solve the system of equations that you created in (a) and (b) algebraically to find all possibilities for the

overall dimensions.