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

P = a + b + c

p = 2400

a = longest = 2c - 200

b = middle = a - 200 = 2c - 200 - 200 = 2c - 400

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

2400 = 5c - 600

2400 + 600 = 5c

3000 = 5c

3000/5 = c

600 = c < = = shortest side

a = 2c - 200 ... = 2 (600) - 200 = 1200 - 200 = 1000< = = longest side

b = 2c - 400 ... = 2 (600) - 400 = 1200 - 400 = 800 < = = middle side