Final answer:
To find the length of the shortest side of the triangular plot of land, we can set up an equation using the given information. Solving this equation will give us the value of x, which represents the length of the shortest side.
Step-by-step explanation:
To find the length of the shortest side, let's assign variables to the lengths of the sides. Let's say the shortest side has length x ft, the middle side has length (2x - 200) ft, and the longest side has length (2x - 200 + 200) ft, which simplifies to (2x) ft.
The perimeter of a triangle is the sum of the lengths of its sides. So we can write an equation to represent the given information: x + (2x - 200) + (2x) = 2400.
Solving this equation will give us the value of x, which represents the length of the shortest side.