Finding the lengths of the sides

Question

The perimeter of a triangular plot of land is 2400 feet. The longest side is 200 feet less than twice the shortest. The middle side is 200 feet less than the longest side. Find the lengths of the three sides of the triangular plot.

Answer 1

Let X represent the shortest side

 

The longest side= 2X-200

The middle side= (2x-200)-200 or 2X-400

 

So, now lets put those factors into the perimeter formula:

 

X + (2X-200) + 2X-400=2400

5X-600=2400

5X=3000

X=600

 

So, the short side is 600 feet

The middle side is (2X-400) or 800 feet

The long side is (2X-200) or 1000 feet