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=

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=

Area of two circle=

Hence area of the top of plastic= Area of rectangle-Area of two circles.

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