Area and Perimeter : Definition , Formula , Tricks
Area – What is Area ?
Area and Perimeter – General Questions Practice Online Aptitude Test and find out how much you score before you appear for your next interview and written test.
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 every shape as it has a different measurement. So, let us learn the formula for all shapes, here.
Area and Perimeter Formula
| Figures | Area Formula | Variables |
| Area of Rectangle | Area = l × w | l = lengthw = width |
| Area of Square | Area = a2 | a = sides of the square |
| Area of Triangle | Area = 1/2 b×h | b = baseh = height |
| Area of Circle | Area = πr2 | r = radius of the circle |
| Area of Trapezoid | Area = 1/2 (a + b)h | a =base 1b = base 2h = vertical height |
| Area of Ellipse | Area = πab | a = radius of the major axisb = radius of the minor axis |
Perimeter Formula for different geometrical figures:
| Geometric Shape | Perimeter Formula | Metrics |
| Perimeter of Parallelogram | 2(Base + Height) | |
| Perimeter of Triangle | a + b + c | a, b and c being the side lengths |
| Perimeter of Rectangle | 2(Length + Width) | |
| Perimeter of Square | 4a | a =Length of a side |
| Perimeter of Trapezoid | a +b+c+d | a, b, c, d being the sides of the trapezoid |
| Perimeter of Kite | 2a + 2b | a = Length of the first pair of equal sidesb = Length of the second pair of equal sides |
| Perimeter of Rhombus | 4 x a | a = Length of a side |
| Perimeter of Hexagon | 6 x a | a = Length of a side |
Area and Perimeter of Special Triangle
An Equilateral triangle is a special triangle having all the three sides equal. To find its perimeter and area we need to know all the three sides of it.
Area of Equilateral Triangle
- The perimeter of an equilateral triangle = 3 x length of a side = 3l.
- Area of an equilateral triangle = √3 / 4 a2