Question 1012193
.
Perimeter is the sum of the sides.
.
(x+5)+(3x-1)+(4x-2)=66
8x+2=66
8x=64 
x=8
.
x+5=8+5=13
The x+5 side is 13
.
3x-1=3(8)-1=24-1=23
The 3x-1 side is 23
.
4x-2=4(8)-2=32-2=30
The 4x-2 side is 30
.
ANSWER: The shortest side is x+5=13
.