The perimeter of a triangle is 48 feet. The longest side is 7 feet less than 4 times the shortest side, and the third side is 13 feet longer than the shortest side. Find the lengths of the sides of the triangle.
A) 7 feet, 20 feet and 21 feet
B) 27 feet, 20 feet and 21 feet
C) 7 feet, 20 feet and 28 feet
D) 7 feet, 41 feet and 21 feet

Question

Quizplus · Accepted Answer

Let the shortest side be x feet. Then, the longest side is 4x - 7 feet, and the third side is x + 13 feet. The perimeter is the sum of the sides: x + (4x - 7) + (x + 13) = 48. Solving this equation gives x = 7 feet, so the sides are 7 feet, 20 feet (4*7 - 7), and 21 feet (7 + 13).

The Perimeter of a Triangle Is 48 Feet