Solve the problem.
-A pie-shaped (triangular) lake-front lot has a perimeter of 2000 feet. One side is 300 feet longer than the shortest side, while the third side is 500 feet longer than the shortest side. Find the lengths of all three sides.
A) 500 ft, 800 ft, 1000 ft
B) 400 ft, 700 ft, 900 ft
C) 100 ft, 200 ft, 300 ft
D) 500 ft, 500 ft, 500 ft

Question

Quizplus · Accepted Answer

Let the shortest side be x feet. Then, the other sides are x + 300 feet and x + 500 feet. The perimeter is the sum of all sides, so x + (x + 300) + (x + 500) = 2000. Simplifying, 3x + 800 = 2000, leading to 3x = 1200, and x = 400 feet. Thus, the sides are 400 ft, 700 ft (400 + 300), and 900 ft (400 + 500).

Solve the Problem. -A Pie-Shaped (Triangular) Lake-Front Lot Has a Perimeter of 2000