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Revision: Mensuration >> Perimeter and Area of Plane Figures Maths ICSE ICSE Class 6 CISCE

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Formulae [8]

Formula: Perimeter

Perimeter = Sum of all side lengths

Formula : Perimeter of a Rectangle

Perimeter of a rectangle = 2 × length + 2 × breadth

P = 2(1 + b) ⇒ (i) l = `P/2` − b, i.e., length = `"Perimeter"/2` − breadth

                         (ii) l = `P/2` − l, i.e., breadth = `"Perimeter"/2` − length

Formula: Perimeter of Squares

Perimeter of Square = Total boundary of the square

                                   = Side + Side + Side + Side

P = 4 × Side

Or: P = 4s (where 's' represents the side length)

side = ` "perimeter"/"4"`

Always include the correct linear unit (cm, m, mm, km, etc.)

Formula: Perimeter of an Equilateral Triangle

For an equilateral triangle with side length = s

P = s + s + s

   = 3 × s

Perimeter = 3 × Length of one side

Perimeter Formulas
Shape Formula
Rectangle P = 2 × (l + b) 
Square P = 4 × side
Equilateral Triangle P = 3 × side
Regular Pentagon P = 5 × side
Regular Hexagon P = 6 × side
Formula: Area

Area =  Amount of space inside a flat shape

Formula: Area of a Rectangle

Area of a rectangle = length × breadth

Written as: A = l × b

l = `A/b` i.e.,  length = `"Area"/"Breadth"`

and, b = `A/l`  i.e., breadth  = `"Area"/"Length"`

Formula: Area of a Square

Area of square = side × side

                          = s × s

                          = s2

Area of square = (side)²

 ⇒ its side = \[\sqrt{Area}\]

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