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
Related Pages
Area Of Polygons
Area Of Circles
Area Formulas
More Geometry Lessons
Geometry Worksheets
What is a trapezoid?
A trapezoid is a 4-sided polygon with two parallel sides. A trapezoid is also called a
trapezium (UK English).
How to find the Area of a 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:
Example:
Find the area of the following trapezoid:
Solution:
Area of trapezoid
How to find the height of a trapezoid given the area?
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.
How to find the area of a trapezoid using the formula 1/2(a + b)h?
Step 1: Find the bases and height. (The height must be perpendicular to bases)
Step 2: Add the bases and multiply by the height.
Step 3: Divide the answer by 2.
Step 4: Write the units.
Find the area of trapezoid
Find the height of a trapezoid given its area
Find the height of the trapezoid shown below, if the area is 378.56
Derive the area formula of a trapezoid
How to derive the area formula of trapezoid by using the area of triangles?
How to derive the area formula for a trapezoid using either two triangles or a parallelogram?
Problems involving area of trapezoid
The following video shows a problem involving the area of a trapezoid.
Example:
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.
Example:
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.
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