# 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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