# Area of a Trapezoid

In this article, you will gain a comprehensive understanding of what a trapezoid is and how to calculate its area using the trapezoid area formula.

## A step-by-step guide to finding the area of a trapezoid

To determine the area of a trapezoid, follow these simple steps:**Step 1: **Multiply the sum of the bases (the parallel sides) by the height (the perpendicular distance between the bases)**Step 2:** Divide the product by 2.

So, the area of a trapezoid\( =\frac{1}{2}×\)(Sum of parallel sides)\(×\)(perpendicular distance in between the parallel sides).

**Definition of the Area of a Trapezoid – Example 1**

What is the area of this trapezoid?

**Solution:**

According to the area of a trapezoid:**Step 1:** Add the parallel sides. \(14+11=25\)**Step 2:** Multiply it by the perpendicular distance between the parallel sides. \(25×8=200\)**Step 3: **Multiply the product by \(\frac{1}{2}\).

\(\frac{1}{2}×200=100\). So, the area of this trapezoid is \(100 cm^2\).

**Definition of the Area of a Trapezoid – Example 2**

What is the area of this trapezoid?

Solution:

According to the area of a trapezoid:**Step 1:** Add the parallel sides. \(12+8=20\)**Step 2:** Multiply it by the perpendicular distance between the parallel sides. \(20×3=60\)**Step 3:** Multiply the product by \(\frac{1}{2}\).

\(\frac{1}{2}×60=30\). So, the area of this trapezoid is \(60 yd^2\).

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