Question

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

Answer 1

Answer:

Hence area of the top of plastic= $6\times 3-2(\pi \times (1.5)^2)$

Step-by-step explanation:

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= $\pi \times r^2=\pi \times (1.5)^2$

Area of two circle=$2\times \pi \times (1.5)^2$

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

                                                 = $6\times 3-2(\pi \times (1.5)^2)$