Jenny wants to utilize a portion of her garden for growing flowers. Being a designer herself, she visualizes a triangular area with different lengths for each side. For this Jenny decides to keep a side of the triangular area 3 feet shorter and the other 2 feet longer than the third side. She also wants to restrict the perimeter of the triangular area to 32 feet, so that it does not cover a huge area of the garden. Determine the maximum length of each side of the triangular area that Jenny has visualized.

Label the sides of the triangle X, Y & Z.
So X + Y + Z = 32
Let X= the unknown leg
Y is X-3
Z is X+2
Substitute those figures into the equation to find the length of the unknown leg. Now that the lenghth of the unknown leg has been discovered, the length of the other two legs should be easily determined.

A= C-3 because 3 less than third side, "C"
B= C+2 because 2 more than third side, "C"
C= C
P(r)=32 (Perimeter = 32)

So by setting up the equation, it would look like this:
(C-3) + (C+2) + C = 32

Solve for C; plug in the top expression for the other side lengths