Question

Because the lid of a marker is wider than the marker itself, a set of markers can be packaged in a container that is in the

shape of a trapezdid instead of a rectangle.
12 in.
12 in.
10 in.
10 in
10 in
What is the difference in area between the two packages?
1 square inch
2 square inches
5 square inches
10 square inches

Answer 1

10 square inches. I took the quiz. Hope this helps!!

Answer 2

10 square inches.

Explanation:

The area
`A` of a trapezoidal package with bigger base
`b`, height
`h`, and smaller base
`a`, is

`A=(a+b)/(2)*h`.

In our case

`b=12`

`h=10`

`a=10`

therefore we have

`A_t = (12+10)/(2)*10=110 \:in^2`

the area of the trapezoid is 110 square inches.

Now, the area
`A_r` of the rectangular package is its length times height

`A_r=12in*10in=120\:in^2`

the area of the rectangle is 120 square inches.

The difference in area between the two packages is

`120\:in^2-110\:in^2=10\:in^2`

10 square inches.