Choose the one alternative that best completes the statement or answers the question.
Solve the problem.
-A triangular lake-front lot has a perimeter of 1100 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) 200 feet, 500 feet, 700 feet
B) 100 feet, 200 feet, 300 feet
C) 200 feet, 200 feet, 200 feet
D) 100 feet, 400 feet, 600 feet

Question

Quizplus · Accepted Answer

Let x be the length of the shortest side. Then the other sides are x + 300 and x + 500. Since the perimeter is 1100, we have x + (x + 300) + (x + 500) = 1100, which simplifies to 3x + 800 = 1100. Solving for x, we get x = 100. Therefore, the lengths of the three sides are 100, 400, and 600. Hence, the answer is D.

Choose the One Alternative That Best Completes the Statement or Answers