The perimeter of the triangle would be the sum of the side lengths. If we let the variable s represent the length of the shortest side, then we can write the following expressions for each side:
Shortest side is: s
Second side (twice the length if the shortest side): 2s
Third side (27 feet more than the length of the shortest side): s + 27
Then the perimeter (or 191 feet) is equal to: s + 2s + s + 27 = 191
Now use inverse operations and combining like terms to find the value of s :
s + 2s + s + 27 = 191
4s + 27 = 191
4s + 27 - 27 = 191 -27
4s = 164
4s/4 = 164 / 4
s= 41 feet
The shortest side is 41 feet.
The second side is 2s or 2 * 41 = 82 feet
The third side is s + 27 or 41 + 27 = 68 feet
To verify: 41 + 82 + 68 = 191 feet
