06_Mensuration: Mensuration is a part of geometry that deals with the study of different geometrical shapes and their measurements. We use mensuration to calculate the length, breadth, depth, area, perimeter and volume of different geometrical shapes.
06_Mensuration_Perimeter
The length of the boundary of a closed curve is known as perimeter.
Perimeter of a Square
Perimeter of a square = Sum of its sides
Perimeter of a rectangle
Opposite sides are equal in a rectangle.
Let L = length and B = breadth, then its perimeter,
P = L + L + B + B
or, P = 2L + 2B = 2(L+B)
Perimeter of a Regular Polygon
A polygon is called regular if all its sides and angles are equal.
Assuming L = length of each side,
Perimeter of an equilateral triangle = 3 × L = 3L
Perimeter of a square = 4 × L = 4L
Perimeter of a regular pentagon = 5 × L = 5L
Perimeter of a regular hexagon = 6 × L = 6L
The perimeter of a regular polygon is the number of sides it has multiplied by the length of each side. Hence,
P = n × L
where “n” is the number of sides of the regular polygon.