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# 11 Plus Area and Perimeter

The area is the place occupied by any object. Area and perimeter are measurements of an object. The area always expressed in square units. Perimeter is expressed in units. Here we will learn about the area and perimeter of the following two-dimensional shapes:

1. Square

2. Rectangle

3. Triangle

4. Circle

5. Parallelogram

6. Trapezium

7. Rhombus

Area and perimeter of a Square:

The place occupied by a square is called the area of a square.

The area of square = side x side (square units).

Example:

The perimeter of square = 4 x side (unit)

Area  and perimeter of rectangle:

The place occupied by a rectangle is called the area of the rectangle.

The area of rectangle = length x breadth  (square units).

The perimeter of Rectangle = 2 x (length + breadth) (unit)

Example:

Area  and perimeter of a triangle:

The place occupied by a triangle is called the area of the triangle.

The area of triangle = 12   x base x Height (square units).

Example:

The area of the equilateral triangle = 34  a2 (square units).

a = side of a triangle

The perimeter of Triangle = (AB + BC + CA) (unit)

Area and circumference of a circle:

r = radius of a circle

Diameter(d) = 2r

r = d/2

Example:

Area and perimeter of parallelogram:

The place occupied by a parallelogram is called the area of a parallelogram.

d1 and d2 are the lengths of two diagonals of a parallelogram.

• Area of a parallelogram using base and height = base x height(square units)

The perimeter of parallelogram =2 (side1 + side2) (units)

Example:

Area and perimeter of trapezium:

The place occupied by the trapezium is called the area of trapezium.

The perimeter of trapezium = (AB + BC + CD + DA) (units)

Area and perimeter of rhombus:

The place occupied by the rhombus is called the area of the rhombus.

d1 and d2 are the lengths of two diagonals of a rhombus.

Example:

The perimeter of rhombus =  4(side) (units)

Example:

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