LEARN MATH STEP BY STEP THROUGH VERY EASY PROCESS

MENSURATION - PERIMETER & AREA

__PERIMETER -__

**The perimeter is the total length of the boundary or the outer edge of a two-dimensional shape. It is the distance you would cover if you walked all the way around the shape.**

In **simpler terms, the perimeter is the sum of the lengths of all the sides of a figure. For example, for a rectangle, it's the sum of the lengths of all four sides, and for a circle, the perimeter is also called the circumference.**

**The perimeter of a shape is the total distance around the outer edge of the shape. It is calculated by summing the lengths of all its sides.**

**Here are formulas for the perimeter of some common shapes:**

__Square:-__**Perimeter P = 4 × side**__Rectangle:-__**Perimeter P = 2 × (length + width)**__Triangle:-__**Perimeter P = side 1 + side 2 + side 3**__Circle (Circumference):-__**Perimeter P = 2 × π × radius OR P = π × diameter**__Polygon (n-sided):-__**Perimeter P = sum of all sides**

**The perimeter of a closed plane
figure is the total length of its
boundary. The unit of perimeter is the same as that of length like cm, m etc.**

**· Perimeter of a square =
sum of the lengths of 4 sides (all sides are equal in a square and let each side be of length a) = 4 x a**

** Perimeter of a square
(P) = 4 x a**

**· Perimeter of a
rectangle = sum of the lengths of all 4 sides =
length + length + breadth + breadth**

**= 2 (length + breadth) (let l be length and b be breadth)**

**= 2 (l + b)**

**Perimeter
of a rectangle (P) = 2 (l + b)**

__AREA -__

**The area of a shape is the amount of space enclosed within its boundaries. It is usually measured in square units (like square meters, square centimeters, etc.).**

**Here are formulas for the area of some common shapes:**

__Square:-__**Area A = side²**__Rectangle:-__**Area A = length × width**__Triangle:-__**Area A = 1/2 × base × height**__Circle:-__**Area A = π × radius²**__Trapezoid:-__**Area A = 1/2 × (base1 + base2) × height**__Parallelogram:-__**Area A = base × height**

**Each formula depends on the shape and its dimensions. Let me know if you want help with a specific area calculation!**

**The area of a closed
plane figure is the measure of the region enclosed
by its boundary.**

**The unit of area
is square units like cm², m² etc. Also
written as square centimetre, square metre etc.**

**· Area of a square =
(Length of a side)² [let each side be a]**

** Area of a square (A) = a²**

**· Area of a rectangle = length x breadth
= l x b**

** Area of a rectangle
(A) = l x b**