Answer:
x=8.5, length is 17, and width is 6.5
Explanation:
To solve for x, you would add the two sides together, getting x-2+2x+3x-2. Now, you would multiply this figure by two, because you only have half of the perimeter as of now. (3x-2)*2+6x-4. Now, because the perimeter is 47, you have this equation
6x-4=47
Add four to both sides
6x=51
Divide by 6
x=51/6=8.5
Now, you would plug this into both of the other sides of the rectangle.
The length, or the longest side, measures 2x
2*8.5=17
The width, or the shorter side, measures x-2
8.5-2=6.5
Hope this helped