Class 6 Maths Mensuration | Area |

__Area__

The amount of surface enclosed by a closed figure is called its **area.**

__Area of a Square:__

Area of the square = side × side = *l ^{2}*

__Area ____of a Rectangle:__

**Area of a rectangle = (length × breadth)**

** **

__Problem__: The area of a rectangular garden 50 m long is 300 sq m. Find the width of the garden.

Solution**:**

** **

Let the width of the garden be of *b* m.

Since the garden is rectangular in shape, we get :

Area of a Rectangle = length * breadth = 50*b

50*b = 300

b = 300/50

b = 6 m

The width of the garden is 6m.

__Problem:__ A floor is 5 m long and 4 m wide. A square carpet of sides 3 m is laid on the floor. Find the area of the floor that is not carpeted.

Solution:

Area of the rectangular floor = length*breadth = 5*4 = 20m^{2}

Area of the square carpet = Side^{2 }^{ }= 3*3 = 9m^{2}

Remaining area on the floor = (20 -9) m^{2 }= 11m^{2}

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