Question

What is Perimeter?

Answer 1

Hint: In this question we can introduce perimeter by providing a fundamental understanding of perimeter and establishing the different shapes in geometry such as square, rectangle, triangle, and others, as well as how to compute the formulas for these various shapes.

Complete step-by-step solution:
In the land of arithmetic Perimeter is gotten from two geek words Peri and Metron .
Consequently the word Peri implies around and the word Metron implies measure. The perimeter of a square, rectangle, or triangle can also be determined.
Henceforward perimeter is the absolute distance of the multitude of sides of a shut plane figure. In simple words you can describe perimeter as if we walk along the sides of any shape then the total distance travelled is its perimeter hence if you want to find the perimeter of a shape then you can find perimeter by adding all the sides of the shape. Hence, \[\text{Perimeter=Sum of the lengths of all sides of a closed plane figure }\]
Perimeter of a square:
We know that all of the sides of a square have the same length in order to calculate its perimeter.
                                       

The perimeter of a square can be calculated by summing the lengths 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:
We know that a rectangle has four sides, each with length and width, and that the lengths of the opposite sides of the rectangle are equal to get the perimeter.
                                  

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

Perimeter of triangle:
We can compute the perimeter of a triangle because it has three sides.
                                

In fig \[\text{(3)}\] you can see we that we have three sides of a triangle \[a,b,c\]
Hence The perimeter of a triangle can be calculated by summing the lengths of all its sides.
\[\Rightarrow \text{Perimeter of triangle = a+b+c}\]

Note: You must have some knowledge of the perimeter of squares and rectangles is always smaller than their area, however the perimeter of triangles might be greater than the area. In real life, you can employ area and perimeter in a variety of situations, such as house construction, moulding around doors and windows, picture frame moulding, and so on.