Table of Contents
Area and Perimeter- Concepts and Formula
What is Area
In geometry, the area can be defined as the space occupied by a flat shape or the surface of an object or Area is the amount of space taken up by a 2D shape
What is Perimeter?
In geometry, perimeter can be defined as the path or the boundary that surrounds a shape. It can also be defined as the length of the outline of a shape.
Square
Perimeter of Square = 4 x side
Rectangle
Area of rectangle = Length x Breadth
Perimeter of Rectangle = 2 ( Length + Breadth )
Triangle
where a, b, c are the sides of the triangle and,
Perimeter of Triangle = Sum of all side = a + b + c
Equilateral Triangle
Perimeter of Equilateral Triangle = 3 x side
Circle
Parallelogram
Area of a parallelogram = Base x Height
Rhombus
Trapezium
Questions The area of a square with perimeter 48 cm is _____ ?
Answer Perimeter = 4 x side
4 x side = 48
Side = 48/4 = 12
Area of square = side x side = 12 x 12 = 144 sq. cm
Questions.The perimeter of a rectangular field is 480 metres and the ratio between the length and the breadth is 5 : 3. The area is ______ ?
Answer Let the length and breadth is 5x and 3x respectively
Perimeter of rectangle = 2(l+b)
480 = 2 ( 5x + 3x )
8x = 240
x = 30
So, length = 5x = 150, breadth = 3x = 90
Area = 150 x 90 = 13500 sq m
Questions. The area of a rectangle is 480 square metres. If the length is 20% more than the breadth, what is the breadth of the rectangular field?
Answer Let the breadth is B
Then, length = 120xB/100
Area = 480
Bx120xB/100 = 480
B 2 = 400, B = 20 metre
Question The area of a triangle is 216 cm2 and its sides are in the ratio 3 : 4 : 5. The perimeter of the triangle is_____ ?
Answer. Let a = 3x, b= 4x, c=5x cm, s = (3+4+5)/2 = 6 cm
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