We are asked to find how many inches of molding would be needed to frame the given figure.
First, we need to find the length (l) in the figure.
[tex]\begin{gathered} 8\frac{1}{4}+l+1\frac{1}{2}=12\frac{1}{2} \\ l=12\frac{1}{2}-8\frac{1}{4}-1\frac{1}{2} \\ l=2\frac{3}{4} \end{gathered}[/tex]
So, the length of l is 2 3/4 in.
Now, we need to find the sum of all sides of the figure.
[tex]\begin{gathered} perimeter=12\frac{1}{2}+4\frac{3}{8}+1\frac{1}{2}+2\frac{3}{4}+8\frac{1}{4}+4\frac{3}{8} \\ perimeter=33\frac{3}{4}\;in. \end{gathered}[/tex]
Therefore, 33 3/4 inches of molding would be needed to frame the figure.
Option A is the correct answer.
