# Area of a quadrilateral

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A diagonal divides a quadrilateral into 2 triangles. Understanding area of a quadrilateral in terms of triangles is done with this activity.

### Objectives

To find the area of a quadrilateral

### Estimated Time

40 minutes

### Prerequisites/Instructions, prior preparations, if any

Prior understanding of properties of triangles

### Materials/ Resources needed

- Digital : Computer, geogebra application, projector.
- Non digital : Worksheet and pencil
- Geogebra files : ‘Area of a quadrilateral.ggb’

Download this geogebra file from this link.

### Process (How to do the activity)

- How can the quadrilateral be divided into triangles?
- What is common for the two triangles formed?
- How can the area of the quadrilateral be found with the two triangles that are formed?
- Record the values of segments

Value of diagonal AC (f) Value of h Value of j Area of triangle ABC Area of triangle ADC Area of Quadrilateral . . **Evaluation at the end of the activity**

- Can the area of any quadrilateral be found with this method