The perimeter of a Rectangle is one of the important formulas to find the distance covered by the rectangle. Basically, the perimeter gives the length of the figure. Rectangle, square, triangle is the two-dimensional figures where we can find the area and perimeter of the figure. As it is a 2D figure we cannot find the volume of the geometric shapes. Before we find the perimeter of the rectangle we have to know what is rectangle and the properties of the rectangle. Scroll down this page to know the perimeter of the rectangle formula, properties, and solved problems.
Do Refer:
What is a Rectangle?
A rectangle is a quadrilateral that has two pairs of parallel sides. It is a four-sided polygon in which opposite sides are equal. There are four vertices, four right angles in a rectangle. A rectangle has lengths and widths of different size.
Properties of Rectangle
The properties of the rectangle are as follows,
1. A rectangle is a quadrilateral.
2. Each interior angle of a rectangle is 90°.
3. Opposites sides are equal and parallel to each other.
4. The sum of the two angles is 180°.
5. The sum of all the interior angles is equal to 360°.
6.The diagonals bisect each other.
7. Both the diagonals have the same length.
8. A diagonal of a rectangle is the diameter of its circumcircle.
9. The diagonals bisect each other at different angles.
What is the Perimeter of the Rectangle?
In a rectangle, the distance around the outer side of the rectangle is known as the perimeter. A rectangle is a two-dimensional shape. The perimeter of the rectangle is the sum of all the sides of the polygon. The opposite sides of the rectangle are equal so the perimeter will be twice the length and twice the width of the rectangle. The perimeter is represented by the letter “P”.
Perimeter of a Rectangle Formula
The perimeter is the sum of the total sides of the rectangle.
P = sum of all the four sides
P = length + length + width + width
P = 2L + 2W
P = 2(L + W)
Thus perimeter of a rectangle = 2(length + width) units
Perimeter of a Rectangle Examples
Let us solve some problems related to the perimeter of the rectangle and know-how and where to use the formula.
Example 1.
Find the perimeter of a rectangle whose length is 10cm and width is 6cm respectively.
Solution:
Given,
Length of the rectangle = 10cm
Width of the rectangle= 6cm
Perimeter of the rectangle = ?
We know that,
perimeter of a rectangle = 2(length + width) units
P = length + length + width + width
P = 10cm + 10cm + 6cm + 6cm
P = 20cm + 12cm
P = 32cm
Thus the perimeter of a rectangle is 32 cm.
Example 2.
A Rectangle has a length of 19 m and a width of 14 m. Find the perimeter of a rectangle.
Solution:
Given,
Length of the rectangle = 19m
Width of the rectangle= 14m
The perimeter of the rectangle = ?
We know that,
perimeter of a rectangle = 2(length + width) units
P = length + length + width + width
P = 19m + 19m + 14m + 14m
P = 2(19m) + 2(14m)
P = 38m + 28m
P = 66m
Therefore, the perimeter of the rectangle is 66m
Example 3.
Two sides of the rectangle are given in the below figure. What is the perimeter of the rectangle?
Solution:
Given,
Length of the rectangle = 12m
Width of the rectangle= 7m
The perimeter of the rectangle = ?
We know that,
perimeter of a rectangle = 2(length + width) units
P = length + length + width + width
P = 12m + 12m + 7m + 7m
P = 2(12m) + 2(7m)
P = 24m + 14m
P = 38m
Therefore, the perimeter of the rectangle is 38 m
Example 4.
If the perimeter of the rectangle is 150cm. The width of the rectangle is 20cm. Find the length of the rectangle.
Solution:
Given,
The perimeter of the rectangle is 150cm
The width of the rectangle is 20cm.
length of the rectangle = ?
We know that,
perimeter of a rectangle = 2(length + width) units
P = length + length + width + width
P = 2L + 2W
150 cm = l + l + 20 cm + 20 cm
150 cm = 2l + 40 cm
150 cm – 40 cm = 2l
110 cm = 2l
l = 110/2
l = 55 cm
Thus the length of the rectangle is 55 cm.
Example 5.
If the perimeter of the rectangle is 110 cm. The length of the rectangle is 35 cm. Find the breadth of the rectangle.
Solution:
Given,
The perimeter of the rectangle is 110cm
length of the rectangle = 32cm
The breadth of the rectangle = ?
We know that,
perimeter of a rectangle = 2(length + width) units
P = length + length + width + width
P = 2L + 2W
110 cm = 35 cm + 35 cm + b + b
110 cm = 70 cm + 2b
110 cm – 70 cm = 2b
2b = 40 cm
b = 40/2
b = 20cm
Thus the breadth of the rectangle is 20 cm
FAQs on Perimeter of the Rectangle
1. How to find the perimeter of a rectangle?
In order to find the perimeter of the rectangle, we have to add all the sides of the rectangle.
2. What is the formula for the perimeter of the rectangle?
The formula for the perimeter of rectangle is,
P = length + length + width + width
P = 2l + 2w
3. What is the perimeter of the rectangle?
The perimeter of a rectangle is the sum of length and width. It is used to find the sum of the boundaries of the rectangular shape.
P = l + l + w + w