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Answer:
Area and Perimeter Formula are the two major formulas for any given two-dimensional shape in Mathematics. In geometry, you will come across many shapes such as circle, triangle, square, pentagon, octagon, etc. In real-life as well, you will come across different types of objects having different shapes and sizes, which occupy some space in a place and their outline distance specifies the total length of the object.
All the shapes have their own properties, based on their structure, sides and angles. The two main features are the area and perimeter. For example, the amount of paint required to paint a wall of rectangular shape is calculated by its area and to put the boundaries of the square field we have to calculate its perimeter to know the total length of the field.
Every geometrical shape has its area and perimeter. There are different formulas for area and perimeter of every shape as it has a different measurement. So, let us learn the area and perimeter formulas for all shapes, here.
Step-by-step explanation:
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Step-by-step explanation:
Figures Area Formula Variables
Area of Rectangle Area = l × w l = length
w = width
Area of Square Area = a2 a = sides of the square
Area of a Triangle Area = 1/2 b×h b = base
h = height
Area of a Circle Area = πr2 r = radius of the circle
Area of a Trapezoid Area = 1/2 (a + b)h a =base 1
b = base 2
h = vertical height
Area of Ellipse Area = πab a = radius of the major axis
b = radius of the minor axis
Perimeter Formulas for different geometrical figures:
Geometric Shape Perimeter Formula Metrics
Parallelogram 2(Base + Height)
Triangle a + b + c a, b and c being the side lengths
Rectangle 2(Length + Width)
Square 4a a =Length of a side
Trapezoid a +b+c+d a, b, c, d being the sides of the trapezoid
Kite 2a + 2b a = Length of the first pair of equal sides
b = Length of the second pair of equal sides
Rhombus 4 x a a = Length of a side
Hexagon 6 x a