Area Of General Quadrilateral
Chapter Name : Mensuration |
Sub Topic Code : 104_08_11_03_01 |
Topic Name : Area Of General Quadrilateral |
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Sub Topic Name : Area Of General Quadrilaterals |
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Introduction
A general quadrilateral can be split into two by drawing one of the diagonals
Pre-Requisites:
Areas of triangles
Real Life Question:
How can the area of an old model computer (from the side view) calculated?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Quadrilateral | A four sided polygon |
| Triangulation | The technique of dividing a quadrilateral into two triangles |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Drawing sheet | On the Drawing sheet, draw a large quadrilateral of your choice. Draw either diagonal & split into two triangles. Calculate the individual areas and sum them up. Also, calculate the area of the quadrilateral using the formula and verify that both the answers should be same |
Real life uses :
Most objects around us would be quadrilaterals. Many ancient buildings have quadrilaterals somewhere or the other
Places to visit :
Malls, Apartments, temples, Construction sites
Practical examples around us
| Examples | Explainations |
|---|---|
| Windows | Windows in your house are quadrilaterals |
| Television | The screen of your television is also a quadrilateral |
What you learn in Theory:
Area of a general quadrilateral = ½ d (h1 + h2) where h1 & h2 are the perpendiculars from the opposite vertices onto the diagonals and d is the length of the concerned diagonal
What you learn in Practice:
The formula can be practically applied to any general quadrilateral. The same formula may be used to arrive at the formulas of other quadrilaterals