Question

20 points!!!

Which of the following is the area of the special trapezoid if AB = 12, CD = 12, and the height is 9?

A. 33 units^2
B. 162 units^2
C. 54 units^2
D. 108 units^2

Answer 1

Answer: The correct option is (D) 108 units².

Step-by-step explanation: We are given to find the area of the special trapezoid ABCD in the figure, where

AB = 12 units, CD = 12 units and height, h = 9 units.

From the figure, we note that

AB = CD = 12 units and AB is parallel to CD.

So, one pair of opposite sides of the trapezoid are parallel and equal. That means, ABCD is a parallelogram.

The area of a parallelogram with base length b units and height h units is given by

`A=b* h.`

In the given parallelogram ABCD,

base, b = CD = 12 units

and

height, h = 9 units.

Therefore, the area of ABCD will be

`A=b * h=12*9=108~\textup{units}^2.`

Thus, the required area of the trapezoid is 108 units².

Option (D) is correct.

Answer 2

Area is found by multiplying the length by the width.

Length = AB = 12

Height = 9

Area = 12 *9 = 108 units^2

The answer is D.