Question

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

Answer 1

The answer is C

Explanation:

C people See

Answer 2

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

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 * r^2=\pi * (1.5)^2`

Area of two circle=
`2* \pi * (1.5)^2`

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

=
`6* 3-2(\pi * (1.5)^2)`