Answer:
305.12 square inches
Step-by-step explanation:
The picture of the question in the attached figure
we know that
The area of the window is equal to the area of a rectangle, plus the area of two quarter circles plus the area of the smaller square between the two upper corners
so
Find the area of rectangle
[tex]A=(12)(26-4)=264\ in^2[/tex]
Find the area of the two quarter circle
[tex]A=2[\frac{1}{4}(3.14)(4^2)][/tex]
[tex]A=25.12\ in^2[/tex]
Find the area of the smaller square between the two upper corners
[tex]A=(12-8)(4)=4^2=16\ in^2[/tex]
The total area is equal to
[tex]A=264+25.12+16=305.12\ in^2[/tex]
