Answer: 9 feet, 22 feet and 23 feet
Step-by-step explanation:
Let the smallest side be x.
The middle length side is 4feet greater than twice the length of the smallest side. This will be:
= (2 × x) + 4 = 2x + 4
The longest side is 4feet less than 3 times the length of the smallest side. This will be:
= (3 × x) - 4 = 3x - 4
Perimeter = x + 2x + 4 + 3x - 4
x + 2x + 4 + 3x - 4 = 54
Collect like terms
6x = 54
x = 54/6
x = 9
The three sides are
Smallest side = 9 feet
Middle side = 2x + 4 = 2(9) + 4 = 18+4 = 22 feet
Longest side = 3x - 4 = 3(9) - 4 = 27 - 4 = 23feet
