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Thought-Process to Discover Knowledge

Welcome to nubtrek.

Books and other education websites provide "matter-of-fact" knowledge. Instead, nubtrek provides a thought-process to discover knowledge.

In each of the topic, the outline of the thought-process, for that topic, is provided for learners and educators.

Read in the blogs more about the unique learning experience at nubtrek.
mathsMensuration : Length, Area, and VolumeMensuration: 2D Shapes

### Area : Square and Rectangle

In the topic "mensuration", the foundation focuses on learning

•  what is measurement standard?

•  Absolute and Derived Standards

•  Measurement by superimposition

•  Measurement by calculation

•  Measurement by equivalence (infinitesimal and Cavalieri's principle in 2D and 3D. )

Finding area of simple figures (squares, rectangle, triangle, polygon) are revised without much discussion.

click on the content to continue..

Which of the following is the measure of area?

• distance-span between two points
• surface-span within a closed shape
• surface-span within a closed shape
• space-span within a closed solid

The answer is "surface-span within a closed shape"

What is the area of a square of side 7cm? • 28cm
• 49cm^2
• 49cm^2

The answer is "49cm^2". Area of a square is square of the side.

What is the area of a rectangle of length 7cm and width 5cm? • 24cm
• 35cm^2
• 35cm^2

The answer is "35cm^2".

Area of the rectangle is the product of its length and width.

Area of a Square and a Rectangle :
Area of square =text( side)^2

Area of rectangle =text( length ) xx text( width)

Solved Exercise Problem:

What is the area of a rectangle with side 2cm and 15mm?

• 2xx15 = 30 cm^2
• 2xx1.5 = 3 cm^2
• 2xx1.5 = 3 cm^2

The answer is "2xx1.5 = 3 cm^2". The unit of measurement is made uniform before calculating the area.

slide-show version coming soon