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

**Related Topics**

**perimeter of sector****Length of arc****Practice questions on length of arc****Perimeter of square****Perimeter of parallelogram****Perimeter of triangle****Area of a circle****Area of Semicircle****Area of Quadrant****Area of sector****Area of triangle****Area of equilateral triangle****Area of scalene triangle****Area of square****Area of rectangle****Area of parallelogram****Area of rhombus****Area of trapezium****Area of quadrilateral****Area around circle****Area of pathways****Area of combined shapes**

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