Area Of Rectangle

What is Rectangle?

A rectangle is a four-sided polygon having the length of the opposite sides to be equal. Since each angle of measure 90 degrees it can also be termed as an equiangular quadrilateral.

It can also be defined as a parallelogram containing opposite sides equal and parallel in it. A rectangle is called as a square if all its sides are of equal length.

Area Of Rectangle

What is Area of Rectangle?

The size of any object can be measured in many different ways. For instance, we all normally calculate how tall the building or the size of a swimming pool how deep it is.

Well, what is the area of a rectangular object, how to find out the area of rectangular?

The area of a rectangle is calculated in units by multiplying the width (or breadth) by the Length (or Height) of a rectangle. The Mathematical formula for calculating the area of a rectangle is mentioned below:

Area of Rectangle (A) = Length x Breadth

The area of a rectangle is calculated once the Length and Width are known. Multiplying length by breadth, will get our answer having square-unit dimension. Also know the difference between square and rectangle.

How to Calculate the Area of a Rectangle

Follow below steps to find the area:

Step 1:  Note down the dimensions of length and width from the given data.

Step 2: Multiply length and width values

Step 3: Write answer in square units.

Below are some special formula related to rectangle area.

  1. How to find area with diagonal of rectangle and width

Formula: Area = \(Width\ \sqrt{(Diagonal^2 – Width^2)}\)

  1. Find a missing side length when area is known

Formula: Length = Area/Width

Area of Rectangle Example

Example 1: Find the area of the rectangle whose length is 15 cm and the width is 4 cm ?

Solution:

Given,

Length = 15 cm

Width = 4 cm

Area of a rectangle = Length × Width

15 × 4  = 60

So The area of rectangle = 60 cm2

Example 2: Find the area of a rectangular blackboard whose length and breadth are 120 cm and 100 cm respectively.

Solution:

Length of the blackboard = 120 cm = 1.2 m

Breadth of the blackboard = 100 cm = 1 m

Area of the blackboard = area of a rectangle = length x breadth = 1.2 m x 1 m = 1.2 square-metres

Example 3: The length of a rectangular screen is 15 cm. Its area is 180 sq. cm. Find its width.

Solution:

Area of the screen = 180 sq. cm.

Length of the screen = 15 cm

Area of a rectangle = length x width

So, width = area/length

Thus, width of the screen = 180/15 = 12 cm

Example 4: The length and breadth of a rectangular wall is 75 m and 32 m. Find the cost of painting the wall if the rate of painting is Rs 3 per sq. m?

Solution:

Length of the wall = 75 m

The breadth of the wall = 32 m

Area of the wall = length x breadth = 75 m x 32 m = 2400 sq. m

For 1 sq. m of painting costs Rs 3

Thus, for 2400 sq. m, the cost of painting the wall will be = 3 x 2400 = Rs 7200

Example 5: A floor whose length and width is 50 m and 40 m respectively needs to be covered by rectangular tiles. The dimension of each of the tile is 1 m x 2 m. Find the total number of tiles that would be required to fully cover the floor.

Solution:

Length of the floor = 50 m

The breadth of the floor = 40 m

Area of the floor = length x breadth = 50 m x 40 m = 2000 sq. m

Length of one tile = 2 m

Breadth of one tile = 1 m

Area of one tile = length x breadth = 2 m x 1 m = 2 sq. m

No. of tiles required = area of floor/area of a tile = 2000/2 = 1000 tiles

This was all about the area of a rectangle. Learn more about the rectangle, perimeter of rectangle, quadrilaterals etc. by visiting our page BYJU’S.

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Practise This Question

Multiplying a given integer by 1 gives