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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

### Perimeter: Square, Rectangle, Triangle, Polygons

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

click on the content to continue..

Which of the following is a meaning for the word "perimeter"?

• measure around a shape
• measure around a shape
• half of a kind of hot sauce

The answer is "measure around a shape". Perimeter is from the Greek root words peri (around) and meter (measure).

What is the term used to refer "measure around a shape"?

• Pronunciation : Say the answer once

Which of the following is the measure of length?

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

The answer is "distance-span between two points"

What is the perimeter of a square of side 4cm?

• 4cm
• 16cm
• 16cm

The answer is "16cm".

Perimeter of a square is 4 times the length of the side.

What is the perimeter of a rectangle of length 6cm and width 4cm?

• 20cm
• 20cm
• 10cm

The answer is "20cm".

Perimeter of a rectangle is twice the sum of length and width.

What is the perimeter of a triangle of sides 6cm, 5cm, and 4cm?

• 15cm
• 15cm
• 30cm

The answer is "15cm".

The perimeter of a triangle is sum of the lengths of the three sides.

What is the perimeter of a polygon of sides, 6cm, 2cm, 5cm, 4cm, and 6cm ?

• 23cm
• 23cm
• 19cm

The answer is "23cm".

Perimeter of a polygon is the sum of the lengths of its sides.

Perimeter :
Perimeter of square =4 xx text( side)

Perimeter of rectangle =2 xx text( length + width)

Perimeter of triangle =text(sum of sides)

Perimeter of polygon =text(sum of sides)

Solved Exercise Problem:

What is the perimeter of a equilateral triangle with sides, 1cm?

• 1cm
• 3 centimeter
• 3 centimeter

The answer is "3 centimeter"

Solved Exercise Problem:

What is the perimeter of a rectangle formed by joining 2 squares of side 3 cm?

• 12cm
• 24cm
• 18cm
• 18cm

The answer is "18cm".

Two squares are joined and the rectangle has length 3+3=6cm and height 3cm.
So the perimeter is 2(6+3) = 18cm.

Solved Exercise Problem:

What is the perimeter of regular pentagon of side 2cm?

• 10cm
• 10cm
• 5cm

The answer is "10cm".

slide-show version coming soon