A trapezoid, also known as a trapezium in some parts of the world, is a quadrilateral with two parallel sides called bases, and two non-parallel sides called legs. The area of a trapezoid can be calculated using the following formula:

Area = (Base1 + Base2) × Height ÷ 2

In this article, we will explain step-by-step how to calculate the area of a trapezoid using this formula.

Step 1: Identify the Bases and Height

First, you need to identify the two parallel bases (base1 and base2) and the height of the trapezoid. The height is the perpendicular distance between the two parallel sides.

For example, consider a trapezoid with base lengths of 8 cm and 12 cm, and a height of 6 cm.

Step 2: Add the Lengths of the Bases

Next, add the lengths of base1 and base2 together:

Base1 + Base2 = 8 cm + 12 cm = 20 cm

Step 3: Multiply by Height

Now, multiply the sum of the bases by the height:

(Base1 + Base2) × Height = 20 cm × 6 cm = 120 square centimeters

Step 4: Divide by Two

Finally, divide the result by two to obtain the area:

Area = (Base1 + Base2) × Height ÷ 2 = 120 square centimeters ÷ 2 = 60 square centimeters

In this example, the area of the trapezoid is 60 square centimeters.

In conclusion, calculating the area of a trapezoid is simple once you know its bases and height. Follow these steps for an efficient way to find your desired result:

1. Identify the two parallel bases (base1 and base2) and the height of the trapezoid.

2. Add the lengths of the bases together.

3. Multiply the sum of the bases by the height.

4. Divide the product by two to obtain your final result.

With this formula, you can easily calculate the area of any trapezoid, no matter its dimensions.