Solve the problem.
-A triangular shaped lake-front lot has a perimeter of 1500 ft. One side is 100 ft longer than the shortest side, while the third side is 200 ft longer than the shortest side. Find the lengths of all three sides.
A) 100 ft, 200 ft, 300 ft
B) 500 ft, 600 ft, 700 ft
C) 500 ft, 500 ft, 500 ft
D) 400 ft, 500 ft, 600 ft

Question

Quizplus · Accepted Answer

Let the shortest side be x. Then, the other sides are x + 100 and x + 200. The perimeter is the sum of all sides: x + (x + 100) + (x + 200) = 1500. Solving this equation, 3x + 300 = 1500, 3x = 1200, x = 400. Therefore, the sides are 400 ft, 500 ft, and 600 ft.

Solve the Problem. -A Triangular Shaped Lake-Front Lot Has a Perimeter of 1500