# A trapezoid has a height of 6 cm and bases of 8 and 10 cm. What is the area of the trapezoid?

Nov 15, 2015

The area is 54 square centimeters, $c {m}^{2}$

#### Explanation:

Use the formula $A = \frac{\left(a + b\right) \cdot h}{2}$
Where $a$ and $b$ are the parallel sides, and $h$ is the height of the trapezoid. A is the area of the trapezoid.

Let's define our variables:
$a = 8 c m$
$b = 10 c m$
$h = 6 c m$

Let's put them into our formula:

$A = \frac{\left(8 c m + 10 c m\right) \cdot 6 c m}{2}$

$A = \frac{18 c m \cdot 6 c m}{2}$

$A = \frac{108 c {m}^{2}}{2}$

$A = 54 c {m}^{2}$