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 30 feet more than the length of the shortest side. Find

the dimensions if the perimeter is 198 feet.
What is the length of the shortest side?
The length of the shortest side is

Answer 1

The three sides are 36 f t , 72 f t and 59 f t .

Explanation:

Let the length of the shortest side of the triangular flower bed be x feet.

Then the length of the second side is 2x and

the length of the third side is x + 23

The given perimeter is 167 f t hence:

x+2x+x+23=167

4x+23=167

4x=167-23

4 x = 144

x = 144 /4 = 36

2 x = 2 ⋅ 36 = 72

x +23 = 36 + 23 = 59

The length of the three sides of the triangular flower bed are 36 f t , 72 f t and 59 f t .