Answer:
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 .