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Area of Trapezoids




 
In these lessons we will learn
  • how to find the area of trapezoids
  • how to derive the area formula of a trapezoid
  • how to solve problems using area of trapezoids

A trapezoid is also called a trapezium (UK English).

Related Topics: More Geometry Lessons, Geometry Worksheets

Area of a Trapezoid

trapezoid

Given that side a is parallel to side b and h is the vertical height between a and b, the area of the trapezoid is given by the formula:

trapezoid area formula

Example :

Find the area of the following trapezoid:

Solution:

Area of trapezoid




Example :

Given that the area of the following trapezoid is 36. Find the value of h.


Solution:

Worksheet to calculate the area of trapezoids.

Worksheet to solve trapezoid problems involving base1, base2, height and area.

These videos show how to find the Area of a Trapezoid using the above formula.


 

Derive the area formula of a trapezoid

The following video shows how to derive the area formula for a trapezoid using either two triangles or a parallelogram.
The following video shows how to derive the area formula of trapezod by using the area of triangles.


Problems involving area of trapezoid

The following video shows a problem involving the area of a trapezoid.

The area of a trapezoid is 91 and the height is 14.One of the bases has a length of 10. Find the length of the other base.
The area of a trapezoid is 220 sq. ft. The length of the bases are 10 and 45 ft. Find the height/altitude of the trapezoid.


 

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.


You can use the free Mathway widget below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.


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