SHARE:

A quadrilateral is a polygon with 4 sides and 4 vertices. A Quadrilateral can be of different types such as square, rectangle, trapezium, parallelogram, rhombus, kite etc.

Definition of Rectangle

A rectangle is a quadrilateral whose opposite sides are parallel and equal and all interior angles are right angles.

The diagonals in a rectangle are congruent and they bisect each other.

                                                           

Perimeter of a rectangle

The perimeter is defined as the distance around a two dimensional shape. For a polygon, the perimeter is equal to the sum of the sides of the polygon. Since the opposite sides in a rectangle are of equal length, the perimeter of a rectangle is given by the formula

Perimeter = 2 (l + b)

Where l is the length of the rectangle and b is the breadth of the rectangle. Sometimes this is also referred to as the width and the height of the rectangle.

Practice questions:

Question: Calculate the perimeter of a rectangle with length equal to 6 cms and breadth equal to 2 cms.
( Answer:    Length of the rectangle l = 6 cms
        Breadth of the rectangle b = 2 cms
        Perimeter of the rectangle     = 2 * ( 6 + 2 )
                        = 2 * 8
                        = 16 cms
)

Question: Calculate the perimeter of a rectangle with length equal to 5 cms and breadth equal to 3 cms.
( Answer:    Length of the rectangle l = 5 cms
        Breadth of the rectangle b = 3 cms
        Perimeter of the rectangle     = 2 * ( 5 + 3 )
                        = 2 * 8
                        = 16 cms
)

Area of the rectangle

The area of a rectangle is given by the formula
Area = l * b
Where l is the length of the rectangle and b is the breadth of the rectangle.

The area of the rectangle is measured in sq cms.

Practice questions:

Question: Find the area of a rectangle with length equal to 7 cms and breadth equal to 4 cms.
( Answer:    Length of the rectangle l = 7 cms
Breadth of the rectangle b = 4 cms
Area of the rectangle     = 7 * 4
= 28 sq cms    
)

Question: Find the area of a rectangle whose perimeter is equal to 12 cms and whose length is equal to twice its breadth.
( Answer:     Perimeter of the circular base    = 2 ( l + b ) = 12 cms
                        = 2 ( 2b + b ) = 12 cms (length is twice the breadth)
        Breadth of the rectangle = 2 cms
        Length of the rectangle = 4 cms
        Area of the rectangle     = 2 * 4
                    = 8 sq cms
)

SHARE:

© Hozefa Arsiwala and teacherlookup.com, 2016-2017. Unauthorized use and/or duplication of this material without express and written permission from this site’s author and/or owner is strictly prohibited. Excerpts and links may be used, provided that full and clear credit is given to Hozefa Arsiwala and teacherlookup.com with appropriate and specific direction to the original content.

Leave A Reply

Your comments will be displayed after review