Solve the problem.
-A pie-shaped (triangular)lake-front lot has a perimeter of 2200 feet. One side is 200 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, 700 ft, 1000 ft
B)600 ft, 600 ft, 600 ft
C)600 ft, 800 ft, 1100 ft
D)100 ft, 200 ft, 300 ft

Question

Quizplus · Accepted Answer

The perimeter of a triangle is the sum of the lengths of its three sides. Let x be the length of the shortest side. Then the other two sides are x + 200 and x + 500. The perimeter is 2200 feet, so we have the equation:x + (x + 200) + (x + 500) = 2200Simplifying the equation, we get:3x + 700 = 2200Subtracting 700 from both sides, we get:3x = 1500Dividing both sides by 3, we get:x = 500Therefore, the lengths of the three sides are 500 feet, 700 feet, and 1000 feet.

Solve the Problem. -A Pie-Shaped (Triangular)lake-Front Lot Has a Perimeter of 2200 Feet