# What is the formula for the area of a trapezoid?

A trapezoid is a type of quadrilateral in which one pair of its opposite sides are parallel.

## Answer: The formula for the area of a trapezoid, A = ½ (a + b) h. Where a, b are the bases and h is its height.

Let’s see how the formula for the area of a trapezoid is derived.

**Explanation: **

The area of a trapezoid states that the number of unit squares that can be fit into it and it is measured in square units (like cm^{2}, m^{2}, in^{2}, etc).

The area formula of a trapezoid with bases a and b and having height is h (the perpendicular distance between the bases) is Area = ½ (a + b) h

Let's see an example of a formula for the area of a trapezoid.

Find the area of a trapezoid having two bases are 25 units and 15 units and its height is 10 units.

The bases are a = 25 units; b = 15 units.

The height is h = 5 units.

The formula for area of trapezoid is A = ½ (a + b) h

A = ½ (25 + 15) (10) = ½ (40) (10) = 200 cm^{2}.

You can verify your answer using Cuemath's Area of Trapezoid calculator.