Here we will learn about how to find area and perimeter of a plane figures. The perimeter is used to measure the boundaries and the area is used to measure the regions enclosed.

**Perimeter: **

The length of the boundary of a closed figure is called the perimeter of the plane figure. The units of perimeter are same as that of length, i.e., m, cm, mm, etc.

**Area: **

A part of the plane enclosed by a simple closed figure is called a plane region and the measurement of plane region enclosed is called its area.

Area is measured in square units.

*The units of area and the relation between them is given below: *

*The different geometrical shapes formula of area and perimeter with examples are discussed below: *

**Perimeter and Area of Rectangle:**

● The perimeter of rectangle = 2(l + b).

● Area of rectangle = l × b; *(l and b are the length and breadth of rectangle)*

● Diagonal of rectangle = √(l² + b²)

**Perimeter and Area of the Square:**

● Perimeter of square = 4 × S.

● Area of square = S × S.

● Diagonal of square = S√2; *(S is the side of square)*

**Perimeter and Area of the Triangle: **

● Perimeter of triangle = (a + b + c);* (a, b, c are 3 sides of a triangle)*

● Area of triangle = √(s(s - a) (s - b) (s - c));* (s is the semi-perimeter of triangle)*

● S = 1/2 (a + b + c)

● Area of triangle = 1/2 × b × h;* (b base , h height)*

● Area of an equilateral triangle = (a²√3)/4; * (a is the side of triangle)*

**Perimeter and Area of the Parallelogram: **

● Perimeter of parallelogram = 2 (sum of adjacent sides)

● Area of parallelogram = base × height

**Perimeter and Area of the Rhombus: **

● Area of rhombus = base × height

● Area of rhombus = 1/2 × length of one diagonal × length of other diagonal

● Perimeter of rhombus = 4 × side

**Perimeter and Area of the Trapezium: **

● Area of trapezium = 1/2 (sum of parallel sides) × (perpendicular distance between them)

= 1/2 (p₁ + p₂) × h (p₁, p₂ are 2 parallel sides)

**Circumference and Area of Circle: **

● Circumference of circle = 2πr

= πd

**Where**, π = 3.14 or π = 22/7

r is the radius of circle

d is the diameter of circle

● Area of circle = πr²

● Area of ring = Area of outer circle - Area of inner circle.

**● **Mensuration

**Perimeter and Area of Rectangle**

**Area and Perimeter of the Triangle**

**Area and Perimeter of the Parallelogram**

**Circumference and Area of Circle**

**Practice Test on Area and Perimeter of Rectangle**

**Practice Test on Area and Perimeter of Square**

● Mensuration - Worksheets

**Worksheet on Area and Perimeter of Rectangles**

**Worksheet on Area and Perimeter of Squares**

**Worksheet on Circumference and Area of Circle**

**Worksheet on Area and Perimeter of Triangle**

**7th Grade Math Problems** **8th Grade Math Practice** **From Area and Perimeter to HOME PAGE**

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