Answer:
The correct option is C.
Step-by-step explanation:
It is given that the longest wall in Jessica’s actual room is 15 feet long.
From the scale model it is clear that longest wall in Jessica’s actual room is 11 inches.
Let the actual length of door be x ft.
[tex]\frac{11}{15}=\frac{1.75}{x}[/tex]
[tex]x=\frac{1.75\times 15}{11}[/tex]
[tex]x\approx 2.386[/tex]
The length of door is approx 2.386 ft.
The area of the actual space in her room where furniture cannot be placed because of the door is equivalent to the area of semicircle with radius 2.386 ft.
[tex]A=\frac{\pi r^2}{2}[/tex]
[tex]A=\frac{\pi 2.386^2}{2}[/tex]
[tex]A=8.942[/tex]
[tex]A\approx 9[/tex]
The area of the actual space in her room where furniture cannot be placed because of the door is approx 9 ft. Therefore option C is correct.
