Solve the problem.
-A triangular lake-front lot has a perimeter of 1700 feet. One side is 100 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) 100 ft, 200 ft, 300 ft
B) 500 ft, 600 ft, 900 ft
C) 500 ft, 500 ft, 500 ft
D) 400 ft, 500 ft, 800 ft

Question

Quizplus · Accepted Answer

Let the shortest side be x feet. Then, the other sides are x + 100 feet and x + 400 feet. The perimeter is the sum of all sides, so x + (x + 100) + (x + 400) = 1700. Simplifying, 3x + 500 = 1700, so 3x = 1200, and x = 400. Therefore, the sides are 400 ft, 500 ft, and 800 ft.

Solve the Problem. -A Triangular Lake-Front Lot Has a Perimeter of 1700 Feet