Question

How do you introduce Perimeter and Area?

Answer 1

Hint: We can give an introduction of the perimeter and area by giving a basic knowledge of perimeter and area and by determining the different shapes in geometry like square, rectangle, triangle and many more and we will determine how we can calculate the formula of these different shapes.

Complete step-by-step solution:
In the world of mathematics Perimeter is derived from two geek words Peri and Metron .
The word Peri means around and the word Metron means measure.
Hence perimeter is the total distance of all the sides of a closed plane figure.
Hence, \[\text{Perimeter=Sum of the lengths of all sides of a closed plane figure }\]
We can also find out the Perimeter of square, rectangle and triangles.
Perimeter of a square:
To find the Perimeter of a square: We know that the length of all the sides of the squares are the same
                                       

We can find out the Perimeter of a square by adding the length of all sides
Hence by fig \[\text{(1)}\] we can say that \[\text{Perimeter of square = s+s+s+s}\]
\[\Rightarrow \text{Perimeter of square = 4}\times \text{length of a side}\]
Perimeter of a rectangle:
To find the Perimeter of a rectangle we know that a rectangle has four sides and the opposite sides are of equal length.
                                  

In fig \[\text{(2)}\] you can see we have four sides of a rectangle where opposite sides are of equal length.
\[\Rightarrow \text{Perimeter of rectangle = length+length+breadth+breadth}\]
\[\Rightarrow \text{Perimeter of rectangle = 2l+2b}\]

Perimeter of triangle:
To find the Perimeter of a triangle we know that a triangle has three sides.
                                

In fig \[\text{(3)}\] you can see we that we have three sides of a triangle \[a,b,c\]
Hence Perimeter of a triangle can be given by:
We can find out the Perimeter of a triangle by adding the length of all sides
\[\Rightarrow \text{Perimeter of triangle = a+b+c}\]

Area:
To understand the concept of area you may take the example of any surface; it may be the surface of the Earth. The size of any surface is called area. Hence we can say that area is a two dimensional figure that measures the surface of a simple closed region.
In geometry we come across different shapes like squares, rectangles and triangles and many more and all these shapes have different formulas for the calculation of area.
Area of square:
We can calculate the area of square by multiplying the sides of square
\[\Rightarrow \text{Area of square = side }\!\!\times\!\!\text{ side}\]
Area of rectangle:
We can calculate the area of rectangle by multiplying the length and breadth
\[\Rightarrow \text{Area of rectangle = l}\times \text{b}\]
Area of triangle:
Area of a triangle is defined as the total region that is enclosed by all the three sides of triangle
We can calculate the area of triangle by:
\[\Rightarrow \text{Area of triangle =}\dfrac{1}{2}\times \text{ l}\times \text{b}\]

Note: You must know one thing about rectangles that rectangles are also known as elongated squares. In real life you can use area and perimeter in several fields like in construction of your house, for molding around your doors and windows, in molding for picture frames etc.