Perimeter of Rectangle

In this page we are going to see how to find the perimeter of rectangle. First let us see the formula and then you can find the example problems based on this formula.

The total length of the lines enclosed by the rectangle is called the perimeter of the rectangle.

Formula:

Perimeter = 2 (L + B)

Here L stands for length and B stands for breadth. Now let us see some example problems to understand this topic better.

Example 1:

A rectangle is of length 16 cm and breadth 12 cm. What is the perimeter?

Solution:

Perimeter of a rectangle = 2 (L + B)

                Here Length = 16 cm and Breadth = 12 cm               

                                 = 2 ( 16 + 12 )             

                                 = 2 ( 28 )

                                 = 56 cm

Therefore the perimeter of the rectangle =  56 cm


Example 2:

The perimeter of a rectangle is 50 cm. The length is 15 cm. What is the area?

Solution:

Perimeter of the rectangle = 50 cm

                       2 (L + B) = 50

                            L + B = 50/2

                            L + B = 25

Here the length is 15 cm

                           15 + B = 25

                                  B = 25 - 15

                                  B = 10 cm

Therefore the required breadth is 10 cm


Example 3:

The area of the rectangle is 150 cm². If the length is twice the width. What is the perimeter?

Solution:

Let "x" be the width then "2x" be the length of the rectangle.

Area of the rectangle = 150 cm²

                     L x B  = 150

                     x x 2x  = 150

                         2x² = 150

                           x² = 150/2

                           x² = 75 

                            x = √75

                            x = √5 x 5 x 3

                            x = 5√3

length = x = 5 √3 cm

Breadth = 2x = 2(5 √3) = 10 √3 cm

Therefore length and breadth are 5√3 and 10√3 respectively.

Perimeter of the rectangle = 2 (L + B)

                                    = 2(5 √3 + 10 √3)

                                    = 2 (15 √3)

                                    = 30 √3 cm   perimeter of rectangle

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