Solve the Problem $1000 \mathrm{ft}$ One Side Is $300 \mathrm{ft}$ Longer Than the Shortest Side, While the Third Side Is

Multiple Choice

Solve the problem.
-A pie-shaped (triangular) lake-front lot has a perimeter of $1000 \mathrm{ft}$ . One side is $300 \mathrm{ft}$ longer than the shortest side, while the third side is $400 \mathrm{ft}$ longer than the shortest side. Find the lengths of all three sides.

A) $200 \mathrm{ft}, 200 \mathrm{ft}, 200 \mathrm{ft}$
B) $200 \mathrm{ft}, 500 \mathrm{ft}, 600 \mathrm{ft}$
C) $100 \mathrm{ft}, 400 \mathrm{ft}, 500 \mathrm{ft}$
D) $100 \mathrm{ft}, 200 \mathrm{ft}, 300 \mathrm{ft}$