Final answer:
The lengths of the sides of the triangle are 7.25 feet, 14.5 feet, and 7.25 feet.
Step-by-step explanation:
Let's denote the shortest side of the triangle as 'x'. Since the longest side is double the shortest side, we can say that the longest side is '2x'. We also know that the sum of all three sides (the perimeter) is 29 feet.
Therefore, we can set up the equation 'x + 2x + x = 29' to represent the perimeter. Combining like terms, we get '4x = 29'. Dividing both sides by 4, we find that 'x = 7.25'.
So, the shortest side is 7.25 feet, and the longest side is 2 times that, which is 14.5 feet. To find the remaining side, we can subtract the sum of the shortest and longest sides from the total perimeter: 29 - 7.25 - 14.5 = 7.25 feet.