You decide to install a new window in your bedroom. What is the area of the wall you will need to remove in order to install the new window?

Let's begin by identifying key information given to us:
This is a composite shape composed of a semi-circle & a rectangle. The area of the wall is equal to the area of the rectangle
AREA OF RECTANGLE
[tex]\begin{gathered} Area(rectangle)=length\times width \\ length(l)=12ft \\ width(w)=10ft \\ Area(rectangle)=12\times10=120 \\ Area(rectangle)=120ft^2 \end{gathered}[/tex]AREA OF WALL = Area of Rectangle
AREA OF WALL =120
AREA OF WALL = 120 sq.ft