Answer:
The length of the rectangle would be 4.
Step-by-step explanation:
We can start by naming the width x.
Therefore, the length would 3x-2.
The perimeter of the rectangle would then be:
2(3x-2+x)
We can set up the given equation
2(3x-2+x)=12
Solve for x.
Divide both sides by 2.
3x-2+x=6
Combine like terms.
4x-2=6
Add 2 to both sides.
4x=8
Divide both sides by 4.
x=2
The width would then be 2.
We can plug that into the expression for length.
3x-2
3(2)-2
6-2
4
The length of the rectangle would be 4.
