Area of a quadrilateral

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’

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
 * {| class="wikitable"


 * 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
 * } Evaluation at the end of the activity
 * Can the area of any quadrilateral be found with this method
 * } Evaluation at the end of the activity
 * Can the area of any quadrilateral be found with this method
 * } Evaluation at the end of the activity
 * Can the area of any quadrilateral be found with this method
 * } Evaluation at the end of the activity
 * Can the area of any quadrilateral be found with this method
 * } Evaluation at the end of the activity
 * Can the area of any quadrilateral be found with this method
 * } Evaluation at the end of the activity
 * Can the area of any quadrilateral be found with this method
 * } Evaluation at the end of the activity
 * Can the area of any quadrilateral be found with this method