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

Solution:

Trapezoids are shapes having one pair of parallel lines. They have many interesting properties and have many applications in various fields.

Let's understand this with the help of an example.

Given below is a trapezoid with 'a' and 'b' as lengths of the parallel sides and 'h' as the height.

Let's say a = 5, b = 7 and h = 10.

Now, the area of trapezoid is given by 1/2 × (sum of the length of parallel sides) × height = 1/2 × (a + b) × h = 1/2 × (5 + 7) × 10 = 60 sq. units.

Hence, the formula for the area of a trapezoid is 1/2 × (sum of the length of parallel sides) × height.

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

Summary:

The formula for the area of a trapezoid is 1/2 × (sum of the length of parallel sides) × height.