What is the Area of a Rectangle? – Know Your Maths

area of a rectangle

What is the Area of a Rectangle?

In geometry, a rectangle is a shape that consists of four parallel and opposite sides. The area of a rectangle can be defined as the unit square which the rectangle can hold.

We can also define the area of rectangle as the region which is occupied by the perimeter of the rectangle. You may observe the tiles in your house, those tiles are rectangular in shape.

Therefore, in order to find the area of the tile, the formula given is length multiplied by breadth or l * b where l is length and b is breadth. The resultant value is always measured in the units of square.

The length of the rectangle can be defined as the longest and horizontal side of the rectangle whereas breadth is considered as the vertical line which is smaller than the length.

In this article, we may try to cover some basic aspects regarding an area of the rectangle such as calculations based on the area, perimeter, and many more.

Formula for the Perimeter of Rectangle

The perimeter of any shape can be defined as the total distance or length of the outer boundary of the given shape. Similarly, the perimeter of a rectangle can be regarded as the total length of the outer boundaries i.e. length and breadth.

The formula given for the perimeter of the rectangle is 2 ( length + breadth) or 2 ( l + b). Do not get confused between, breadth and width, both the terms signify the same meaning.

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Assume that, you need to find the distance of the boundaries of a farm, how can you find the distance?

You may need the formula of the perimeter of the rectangle in order to find the distance of the boundaries of the farm.

In the next few sections, we may try to solve some calculations based on the perimeter of the rectangle so that you grasp the concept clearly.

Some Calculations Based on the Area of Rectangle

As mentioned above, the area of the rectangle can be measured or calculated by multiplying the breadth with the length of the rectangle.

Some of the examples of area of rectangle are mentioned below:

Example 1:

Calculate the area of a field whose length and breadth are 10 m and 6 m respectively?

Solution: Given that,

Length of the field is = 10 m

Breadth of the field = 6 m

Using the formula of area of rectangle = b * l

10 * 6 = 60 m square units.

Therefore, the area of the field is equivalent to 60 m square units.

Example 2:

Find the area of a rectangle whose length is 3 cm and breadth is 5 cm?

Solution: Given that,

Length of the field is = 3 cm

Breadth of the field = 5 cm

Using the formula of area of rectangle = b * l

3 * 5 = 15 cm square units.

Therefore, the area of the field is equivalent to 15 cm square units.

Some Calculations Based on the Perimeter of Rectangle

The formula given to calculate the perimeter of a rectangle is 2 ( l + w) or 2 ( l + b ) where ‘l’ is the length and ‘b’ or ‘w’ is the breadth or width of the rectangle. Some examples of perimeter of rectangle are mentioned below:

Example 1:

Find the perimeter of a rectangle whose length and breadth is 8 cm and 10 cm respectively?

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Solution: Given that,

Breadth of the rectangle = 10 cm

Length of the rectangle = 8 cm

Using the formula of perimeter of rectangle = 2 ( l + b ).

2 ( 10 + 8 ) = 36 cm square units.

Therefore the perimeter of the rectangle = 36 cm square units.

If you want to learn about the area and perimeter of a rectangle in a detailed and interesting manner, visit Cuemath and book a free session.

 

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