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More Geometry Lessons

Geometry Worksheets

In these lessons we will learn

**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?**

**How to find the height of a trapezoid given the 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.

More Geometry Lessons

Geometry Worksheets

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 a 4-sided polygon with two parallel sides. A trapezoid is also called a trapezium (UK English).

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

**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.

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 height of the trapezoid shown below, if the area is 378.56

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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