Answer is L = 8 1/3, W = 4 2/3
It looks like you are looking for the value of x
First we know P = 2L + 2W
We know P = 26
We know L = x + 3
We know W = 2x - 6
Put these values into your formula
26 = 2(x + 3) + 2(2x -6) Distribute
26 = 2x + 6 + 4x -12 Combine like terms
26 = 6x -6 add 6 to both sides to isolate x
26 + 6 = 6x -6 + 6 Combine like terms
32 = 6x divide both sides by 6 to solve
32/6 = 6/6 x
5 1/3 = x
Now sub your x value into your L & W
L = 5 1/3 + 3
L = 8 1/3
W = (2)(5 1/3) - 6
W = 10 2/3 - 6
W = 4 2/3
L = 8 1/3, W = 4 2/3
Now check your work by substituting L and W values into original equation
26 = 2(L) + 2(W)
26 = 2(8 1/3) + 2(4 2/3)
26 = 16 2/3 + 9 1/3
26 = 26
This is true so solution is correct
Problem solved