What is the formula for the area of a trapezoid?

What is the formula for the area of a trapezoid? This knowledge is definitely crucial for students studying geometry in their math classes. Below, we provide the answer to this question.

## Formula for the area of a trapezoid

To calculate the area of a trapezoid, we need to know the lengths of its bases – the longer one, denoted as *a*, the shorter one, denoted as *b*, and the height, denoted as *h*. The formula is as follows:

\[ P = \frac{1}{2} \cdot (a + b) \cdot h \]

In descriptive terms, this formula can be expressed as follows: The area of a trapezoid is equal to half the product of the sum of the lengths of its bases and its height.

### Height of a trapezoid

The height, *h*, of a trapezoid is the distance between its bases.

### Bases of a trapezoid

The bases of a trapezoid are referred to as a selected pair of parallel sides.

We also provide the helpful image below, which displays the variables *a*, *b*, and *h*. You can download and print it to have the necessary formula at hand.

![Formula for the area of a trapezoid](https://odpowiedzinapytania.pl/wp-content/uploads/2021/04/pole-trapezu-kopia-1024×616.jpg)

Interestingly, according to the definition, any convex quadrilateral with at least one pair of parallel sides is considered a trapezoid. Therefore, every square is a trapezoid, and every rectangle is a trapezoid too. However, this does not work the other way around, as not every trapezoid is a square or a rectangle.


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