# What is Perimeter of a Rectangle? – Definition, Facts and Examples

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## Perimeter of a Rectangle

Rectangles are quadrilateral polygons. Following are the properties of a rectangle :
(i) All the angles of a rectangle are 90º .
(ii) Opposite sides of a rectangle are always the lapp in size . ## Perimeter of a rectangle

The perimeter of a rectangle is the sum distance of all the sides of the rectangle. Hence, we can find the perimeter by adding all four sides of a rectangle . margin of the given rectangle is a + b + a + barn. Since opposite sides of a rectangle are always equal, we need to find the dimensions of merely two sides to find the margin of a rectangle .
The margin of the above rectangle with sides ‘ a units ’ and ‘ b units ’ is :
a + b-complex vitamin + a + barn = 2a + 2b = 2 ( a + boron ) units .
Hence, the formula for the margin of a rectangle = 2 × ( sum of adjacent sides )

### Examples of finding the perimeter of a rectangle

Example 1. The two sides of the rectangle are given. What will be the margin of the rectangle ? Solution : One side of the rectangle is 2 centimeter and the other side is 5 curium .
We know that, the circumference of a rectangle = 2 × ( total of adjacent sides )
therefore, the circumference of the rectangle = 2 × ( 5 + 2 ) = 2 × ( 7 ) = 14 centimeter

Example 2. A rectangular playground is 20 thousand long and 13 m wide. Find its perimeter . Solution : One side of the orthogonal playground is 20 m and the early side is 13 m .
We know that, the margin of a rectangle = 2 × ( sum of adjacent sides )

consequently, the perimeter of the orthogonal anchor = 2 × ( 20 + 13 ) = 2 × ( 33 ) = 66 megabyte

### Tricky problems involving perimeter of rectangles

Type I : When the perimeter and only one of the sides are given .
Example 1. If the margin of the given rectangle is 10 curium and the distance of one of its sides is 2 curium. What will be the other english ? Solution : The circumference of the rectangle, with one of the sides equal to 2 centimeter, is 10 centimeter .
Let the lacking side be ‘ a ’ .
We know that, the perimeter of a rectangle = 2 × ( union of adjacent sides )
10 = 2 × ( 2 + a ) 5 = ( 2 + a )
a = 5 – 2 = 3 curium

Type II : Finding sides using the properties of a rectangle .
model 2. In the given rectangle, if a = 4 curium and five hundred = 3 curium. Find b and vitamin c . Solution : We know that side a = 4 centimeter and side vitamin d = 3 centimeter .
To find side b and coke, we use the property that the opposition sides of a rectangle are constantly the lapp in size .

Hence, a = cytosine = 4 centimeter and vitamin d = b = 3 centimeter.

 Fun Facts many historical buildings have rectangle like shapes in them e.g. Parthenon in Athens.
source : https://enrolldetroit.org
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