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 ) ==> 56 cm
Hence, the perimeter of the rectangle = 56 cm
Let us see the next example of "perimeter of rectangle"
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 ==> 25
Here the length is 15 cm
15 + B = 25 ==> B = 10 cm
Hence, the required breadth is 10 cm
Let us see the next example of "perimeter of rectangle"
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 = 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
Hence, the perimeter of rectangle is 30 √3 cm
Let us see the next example of "perimeter of rectangle"
Example 4:
The number of marble slabs of size 20 cm x 30 cm required to pave the floor of a square room of side 3 meters, is:
Solution:
Number of marble required = Area of square/Area of one marble
Side length of square = 3 m = 3 x 100 = 300 cm
length of marble = 20 cm and breadth = 30 cm
Area of room:
Since the room is in the shape of square, we have to use the formula for area of square.
Area of square shaped room = a² = 300²
Area of one marble:
Here the marble is in the shape of rectangle.
So, Area of one marble = length x breadth
= 20 x 30
Number of marbles required = (300 x 300) / (20 x 30)
= 150
Hence, 150 marbles are needed to pave the square shaped room.
More shapes
|
Square  Parallelogram  |
Rectangle  Rhombus  |
|
Traingle  Quadrilateral  Sector 
Hollow cylinder  Sphere  Area around circle  Area of combined figures  |
Trapezium Circle  Semicircle  Quadrant  Cyclinder  Cone  Hemisphere  Path ways  |
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OTHER TOPICS
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Domain and range of rational functions
Domain and range of rational functions with holes
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Converting repeating decimals in to fractions
Decimal representation of rational numbers
Finding square root using long division
L.C.M method to solve time and work problems
Translating the word problems in to algebraic expressions
Remainder when 2 power 256 is divided by 17
Remainder when 17 power 23 is divided by 16
Sum of all three digit numbers divisible by 6
Sum of all three digit numbers divisible by 7
Sum of all three digit numbers divisible by 8
Sum of all three digit numbers formed using 1, 3, 4
Sum of all three four digit numbers formed with non zero digits
