Question

This question refers to the following information.How many inches of molding would be needed to frame the figure above?

Answer 1

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.

`\begin{gathered} 8(1)/(4)+l+1(1)/(2)=12(1)/(2) \\ l=12(1)/(2)-8(1)/(4)-1(1)/(2) \\ l=2(3)/(4) \end{gathered}`

So, the length of l is 2 3/4 in.

Now, we need to find the sum of all sides of the figure.

`\begin{gathered} perimeter=12(1)/(2)+4(3)/(8)+1(1)/(2)+2(3)/(4)+8(1)/(4)+4(3)/(8) \\ perimeter=33(3)/(4)\;in. \end{gathered}`

Therefore, 33 3/4 inches of molding would be needed to frame the figure.

Option A is the correct answer.