1 Answer

Ono · Answer 1 · 2023-09-30T07:54:08+0000

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.

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