Solve the Problem $500 \mathrm{ft}, 500 \mathrm{ft}, 500 \mathrm{ft}$ B) $500 \mathrm{ft}, 700 \mathrm{ft}, 900 \mathrm{ft}$

Solve the problem.
-A pie-shaped (triangular) lake-front lot has a perimeter of 1800 feet. One side is 200 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) $500 \mathrm{ft}, 500 \mathrm{ft}, 500 \mathrm{ft}$
B) $500 \mathrm{ft}, 700 \mathrm{ft}, 900 \mathrm{ft}$
C) $100 \mathrm{ft}, 200 \mathrm{ft}, 300 \mathrm{ft}$
D) $400 \mathrm{ft}, 600 \mathrm{ft}, 800 \mathrm{ft}$