We need the perimeter of the window for framing
The window is in the shape of a rectangle with the height of [tex]9 \frac{1}{3} [/tex] feet and width of [tex]6 \frac{3}{4} [/tex]. The diagram of the shape is shown below
The perimeter of a shape is obtained by adding up the length of all the sides that form the shape.
The perimeter of the window is [tex]9 \frac{1}{3}+9 \frac{1}{3}+6 \frac{3}{4}+6 \frac{3}{4} [/tex] = [tex]18 \frac{2}{3}+12 \frac{6}{4} [/tex]
We have two whole numbers 18 and 12 and two fractions [tex] \frac{2}{3} [/tex] and [tex] \frac{6}{4} [/tex]
Adding the two fractions that have different denominator
[tex] \frac{2}{3}+ \frac{6}{4} = \frac{8}{12}+ \frac{18}{12}= \frac{26}{12} [/tex], which is an improper fraction which we can change into a mixed number [tex]2 \frac{1}{6} [/tex]
So the perimeter of the window is
[tex]18+12+2 \frac{1}{6} =32 \frac{1}{6} [/tex]
and the length of wood needed for the frame is [tex]32 \frac{1}{6} [/tex] feet
