Question

what is the area of the trapezoid? 4 mm 7 mm 10 mm 12 mm square millimeters

Explanation:

Step1: Recall trapezoid area formula

The formula for the area of a trapezoid is $A = \frac{(a + b)}{2} \times h$, where $a$ and $b$ are the lengths of the two parallel sides (bases), and $h$ is the height (the perpendicular distance between the bases).

Step2: Identify values of a, b, h

From the diagram, the two parallel sides (bases) are $a = 4$ mm and $b = 12$ mm, and the height $h = 7$ mm.

Step3: Substitute values into formula

Substitute $a = 4$, $b = 12$, and $h = 7$ into the formula:
\[

$$\begin{align*} A&=\frac{(4 + 12)}{2} \times 7\\ &=\frac{16}{2} \times 7\\ &= 8\times7\\ &= 56 \end{align*}$$

\]

Answer:

56