Answer:
D. 47 square units
Step-by-step explanation:
The area of the piece of red paper after the hole for the photograph has been cut is the difference between the area of large square and are of small square.
Area of large square:
The length of the side of large square is
[tex]EF=|-4-4|=8\ units[/tex]
Area of large square [tex]=8^2=64\ un^2.[/tex]
Area of small square:
The length of the side of large square is
[tex]AB=\sqrt{(-3-(-2))^2+(-2-2)^2}=\sqrt{(-1)^2+(-4)^2}=\sqrt{1+16}=\sqrt{17}\ units[/tex]
Area of small square [tex]=\sqrt{17}^2=17\ un^2.[/tex]
Difference:
[tex]64 \ un^2-17\ un^2=47\ un^2[/tex]
