The area of the trapezoid = A = ½ (a + b) h A = ½ (22 + 10) × (5) A = ½ (32) × (5) A = ½ × 160 A = 80 cm 2Įxample 2: Find the area of a trapezoid whose parallel sides are given as 10cm and 16cm, respectively, and the non-parallel sides are 5cm each. Solution: Given: The bases are : a = 22 cm b = 10 cm the height is h = 5 cm. Example 1: Find the area of a trapezoid given the length of parallel sides 22 cm and 12 cm, respectively. Here is an area of a trapezoid example using the direct formula and an area of a trapezoid example with the alternative method. ‘h’ is the height, i.e., the perpendicular distance between the parallel sides. We can calculate the area of a trapezoid if we know the length of its parallel sides and the distance (height) between the parallel sides. What is the Formula To Calculate the Area of Trapezoids? (see example 2 for a more precise understanding) Finally, we will add the area of the polygons to get the total area of the trapezoid. Next, we will find the area of the triangles and rectangles separately.

For the second method, firstly, if we are given the length of all the sides, we split the trapezoid into smaller polygons such as triangles and rectangles.

The first method is a direct method that uses a direct formula to find the area of a trapezoid with the known dimensions (see example 1).

There are two approaches to finding the area of trapezoids. The area of a trapezoid is the complete space enclosed by its four sides.

Real-life examples where you can see the area of trapezoids are handbags, popcorn tins, and the guitar-like dulcimer.

When the other two sides are non-parallel, they are called legs or lateral sides.

What is a trapezoid? A trapezoid or trapezium is a quadrilateral with at least one pair of parallel sides.

Volume of a trapezoidal prism example