Question

Type the correct answer in the box. The area is ___ (BLANK) square units.

Answer 1

The figure is a trapezoid, and the area of a trapezoid can be calculated with the formula below:

`A=((B+b)h)/(2)`

Where B is the greater base, b is the smaller base and h is the height.

To find the measure of the smaller base, we need to find the missing piece to the right of the value "3 units" (let's call it x).

To calculate it, we can use the total length of the greater base:

`\begin{gathered} 9+x+3=21\\ \\ 12+x=21\\ \\ x=21-12\\ \\ x=9 \end{gathered}`

Therefore the smaller base is 3 + 9 = 12 units.

Now, calculating the trapezoid area, we have: