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Revision Notes: Perimeter and Area of Plane Figures | Mathematics Class 6 ICSE PDF Download

  • Perimeter of a plane figure is the length of its boundary. 
    The unit is same as length i.e. m, dm, cm, mm………. 
  • Area of a plane figure is the measure of the size of the surface enclosed by its boundary. 
    The unit is square of the length i.e. 𝒎𝟐, 𝒅𝒎𝟐, 𝒄𝒎𝟐, 𝒎𝒎𝟐…… 

Perimeter Area of four sided polygon -Square and Rectangle

Square

  • A square is a four sided closed figure with all sides equal and each angle 𝟗𝟎°
    Revision Notes: Perimeter and Area of Plane Figures | Mathematics Class 6 ICSE
  • 𝑷𝒆𝒓𝒊𝒎𝒆𝒕𝒆𝒓 = 𝑨𝑩 + 𝑩𝑪 + 𝑪𝑫 + 𝑫𝑨
    = 𝒂 + 𝒂 + 𝒂 + 𝒂 = 𝟒𝒂
  • 𝑨𝒓𝒆𝒂  = 𝒍𝒆𝒏𝒈𝒕𝒉 × 𝒃𝒓𝒆𝒂𝒅𝒕𝒉 = 𝒂 × 𝒂 = 𝒂𝟐​​​​

Rectangle

  • A rectangle is a four sided closed figure of which the opposite sides are equal and each angle 𝟗𝟎° 
    Revision Notes: Perimeter and Area of Plane Figures | Mathematics Class 6 ICSE
  • 𝑷𝒆𝒓𝒊𝒎𝒆𝒕𝒆𝒓 = 𝑨𝑩 + 𝑩𝑪 + 𝑪𝑫 + 𝑫𝑨
    = 𝒍 + 𝒃 + 𝒍 + 𝒃 = 𝟐(𝒍 + 𝒃) 
  • 𝑨𝒓𝒆𝒂 = 𝒍𝒆𝒏𝒈𝒕𝒉 × 𝒃𝒓𝒆𝒂𝒅𝒕𝒉 = 𝒍 × 𝒃

Revision Notes: Perimeter and Area of Plane Figures | Mathematics Class 6 ICSE

Area of unshaded portions in the above figure = (Area of bigger square / rectangle) – (Area of smaller square/rectangle) 

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FAQs on Revision Notes: Perimeter and Area of Plane Figures - Mathematics Class 6 ICSE

1. What is the formula to calculate the perimeter of a rectangle?
Ans. The formula to calculate the perimeter of a rectangle is given by P = 2 × (length + width). You simply add the length and width of the rectangle and then multiply the sum by 2.
2. How do you find the area of a square?
Ans. The area of a square can be calculated using the formula A = side × side, or A = side². This means you multiply the length of one side of the square by itself to get the area.
3. What is the difference between perimeter and area?
Ans. Perimeter refers to the total distance around a plane figure, while area measures the space enclosed within the figure. In simple terms, perimeter is about the boundary length, and area is about the surface space.
4. Can you explain how to calculate the area of a triangle?
Ans. The area of a triangle can be calculated using the formula A = (base × height) / 2. You multiply the length of the base by the height (the perpendicular distance from the base to the opposite vertex) and then divide the result by 2.
5. What is the perimeter of a circle called and how is it calculated?
Ans. The perimeter of a circle is called the circumference. It is calculated using the formula C = 2 × π × radius, where π (pi) is approximately 3.14. Alternatively, if you know the diameter, you can use the formula C = π × diameter.
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