Solve.
-A pie-shaped (triangular)lake-front lot has a perimeter of 1300 feet. One side is 300 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)300 ft, 300 ft, 300 ft
B)200 ft, 500 ft, 600 ft
C)300 ft, 600 ft, 700 ft
D)100 ft, 200 ft, 300 ft

Question

Quizplus · Accepted Answer

Let the shortest side be x feet. Then, the other sides are x + 300 feet and x + 400 feet. The perimeter is the sum of all sides, so x + (x + 300) + (x + 400) = 1300. Solving this equation, we get x = 200 feet. Therefore, the sides are 200 ft, 500 ft (200 + 300), and 600 ft (200 + 400).

Solve. -A Pie-Shaped (Triangular)lake-Front Lot Has a Perimeter of 1300 Feet