Question

A flower bed is in the shape of a triangle with one side twice the length of the shortest side and the third side is 18 feet more than the length of the shortest side. Find the dimensions if the perimeter is 186 feet.

Answer 1

42 ft, 60 ft, 84 ft

Explanation:

let x be the shortest side , then the other 2 sides are 2x and x + 18, so

x + 2x + x + 18 = 186 , that is

4x + 18 = 186 ( subtract 18 from both sides )

4x = 168 ( divide both sides by 4 )

x = 42

Then lengths of sides are

x = 42 ft

2x = 2 × 42 = 84 ft

x + 18 = 42 + 18 = 60 ft