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Area of Trapezoids

In this lesson 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).

 

 

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 of trapezod by using the area of two triangles

 

 

The following video shows how to derive the area formula of trapezod by using the area of two parallelograms.

 

 

Problems involving area of trapezoid

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

The trapezoid's top base is half the height and the bottom base is twice the height. The height is 6 ft. What is the area?

 

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.

In this video, we use the area of a trapezoid to find the length of one of its bases.
The area of the trapezoid is 56 square yd. The top base is 8 yd. The height is 8 yd. What is the bottom base's length?

 

The height of the trapezoid is 1 1/2 times its top base. The top base is 6 ft. The area is 108 square ft. What is the bottom base's length?

 

In this video, we use the area of a trapezoid to find its height.
The area of the trapezoid is 49 square m. The top base is 8 m. The bottom base is 6 m. What is the height?

 

 

 

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