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.
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.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.
Name__________________________
AREA OF A TRAPEZOID #3--KEY
Directions : Find the area of each trapezoid. The formula to calculate the area of a trapezoid is
Area = ½(base 1 + base 2) x height. Write your answer in the space provided.
3 in 5 in 3 in
6 in 6 in 8 in
Area ___ 18 _______ Area ____ 22 ______ Area _____ 22 _____
3 in 5 in 6 in
4 in 8 in 9 in
Area _____ 16.5 _____ Area _____ 26 _____ Area ____ 22.5 ______
5 in 9 in 5 in
12 in 10 in 8 in
Area ____ 25.5 ______ Area _____ 28.5 _____ Area _____ 19.5 _____
- Get started
- Pre-Algebra
A quicker path to better grades
We have gathered all your curriculum-based courses, assignments, hints, tests, and solutions in one easy-to-use place
- Integrated I
- Integrated II
- Integrated III
Can't find your textbook?
More math. less studying.
A personal private tutor for each student. Free from preassure and study anxiety.
Exercise 17 Page 691
Use the formula h= 2Ab_1+b_2 to find the height of the trapezoid .
Check the answer
Practice exercises, asses your skill.
We are told that a trapezoid has an area of 50 square inches and bases of 3 inches and 7 inches. We want to find the height of the trapezoid.
Substitute values
Calculate quotient