A triangular lake front lot has a perimeter of 900 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) 200 feet, 400 feet, 600 feet
B) 200 feet, 200 feet, 200 feet
C) 100 feet, 300 feet, 500 feet
D) 100 feet, 200 feet, 300 feet

Question

Quizplus · Accepted Answer

The shortest side is x, the second side is x + 200, and the third side is x + 400. The perimeter is x + (x + 200) + (x + 400) = 900. Solving this equation, we find x = 100, so the sides are 100 feet, 300 feet, and 500 feet.

A Triangular Lake Front Lot Has a Perimeter of 900