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

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

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Answer 1 · 2015-11-15T10:15:10

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

Explanation:

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

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

Let's put them into our formula:

$A = \frac{(8 c m + 10 c m) \cdot 6 c m}{2}$ $A = ((8cm + 10cm)*6cm)/2$

$A = \frac{18 c m \cdot 6 c m}{2}$ $A = (18cm * 6cm)/2$

$A = \frac{108 c m^{2}}{2}$ $A = (108cm^2)/2$

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

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

1 Answer

Explanation:

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