Question

there is a pair of parallel sides in the following shape.
12
6
5
what is the area of the shape?
show your work! 1 point for correct answer and 3 for the work showing how you got your answer!

Explanation:

Step1: Recall trapezoid area formula

The area of a trapezoid is $\frac{1}{2} \times (a + b) \times h$, where $a$ and $b$ are the lengths of the parallel sides, and $h$ is the height between them.

Step2: Identify values for variables

Here, $a = 12$, $b = 5$, $h = 6$.

Step3: Substitute values into formula

$\frac{1}{2} \times (12 + 5) \times 6$

Step4: Calculate sum inside parentheses

$12 + 5 = 17$

Step5: Multiply by height and 1/2

$\frac{1}{2} \times 17 \times 6 = 17 \times 3 = 51$

Answer:

51