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