The figure shows a plastic holder for two cups. Which numerical expression gives the area of the top of the plastic?

Hence area of the top of plastic= [tex]6\times 3-2(\pi \times (1.5)^2)[/tex]
The area of the tip of plastic is equal to area of rectangle minus area of two circles.
Now we know that the length(l) of rectangle=6 in.
and width of rectangle(b)= diameter of the circle= 3 in.
Hence, Area of rectangle=l×b=6×3=18 square inches.
Now as diameter of circle= 3 in.
Radius of circle(r)= (3/2)=1.5 in.
Hence Area of circle= [tex]\pi \times r^2=\pi \times (1.5)^2[/tex]
Area of two circle=[tex]2\times \pi \times (1.5)^2[/tex]
Hence area of the top of plastic= Area of rectangle-Area of two circles.
= [tex]6\times 3-2(\pi \times (1.5)^2)[/tex]