A triangular​ lake-front lot has a perimeter of 1300 feet. One side is 300 feet longer than the shortest​ side, while the third side is 400 feet longer than the shortest side. Find the lengths of all three sides.

A) 200 ​ft, 500 ​ft, 600 ft
B) ​ 300 ft, 300 ​ft, 300 ft
C) 100​ ft, 200​ ft, 300 ft
D) 300 ft, 600 ​ft, 700 ft