We have the following:
L = 11 + W
W
A = L*W
A = 26
replacing:
[tex]\begin{gathered} A=(11+W)\cdot W \\ 26=11\cdot W+W^2 \\ W^2+11\cdot W-26=0 \\ (W+13)\cdot(W-2)=0 \\ W+13=0\Rightarrow W=-13 \\ W-2=0\Rightarrow W=2 \end{gathered}[/tex]Therefore, W is 2 in, replacing:
L = W + 11
L = 2 + 11
L = 13 in
The answer is the length is 13 in and width is 2 in
