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 12 feet more than the length of the shortest side.Find the dimensions if the perimeter is 136 feet​

Answer 1

x - the shortest side

2x

x + 28

The sum of these must be equal to the perimeter of the flower bed, so

x + 2x + x + 28 = 184

4 x + 28 = 184  Combined like terms

4x = 156  Subtracted 28 from both sides

x = 39  Divided both sides by 4.

So the dimensions are 39 feet, 78 feet, and 67 feet