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By counting the number of tiles on the floor, you can quickly determine how much area it takes up. This will also assist you in determining the rectangle floor's area. You may also read DefinDefinitionsmulas, and Questions and answers of Speed, Time, and Distance!1. What is the area of a rectangle?
2. Area of a rectangle formula
3. How to calculate the area of a rectangle?
4. Area of a rectangle using diagonal
5. Important facts
6. Why the area of a rectangle is length in breadth?
What is the Area of a Rectangle?
Definition: The area of the rectangle is the area occupied by a rectangle inside its boundaries.
The area of a flat surface of a specific form may be described as the amount of space it covers. It is calculated as a "number of" square units (square centimeters, square inches, square feet, etc.) The number of unit squares that can fit into a rectangle is called its area. The flat surfaces of laptop displays, blackboards, painting canvas, and other rectangular forms are examples. The area of a rectangle formula may be used to calculate the space occupied by these items. Consider a rectangle with a length of 4 inches and a width of 3 inches.
Area of rectangle = Length x Breadth
A = lb

Area of Rectangle Formula
The formula to find the area of a rectangle depends on its length and width. The area of a rectangle is calculated in units by multiplying the width (or breadth) by the Length of a rectangle. Lateral and total surface areas can be calculated only for threedimensional figures. We cannot calculate the rectangle since it is a twodimensional figure. Thus, the perimeter and the area of a rectangle are given by:
The formula for the Area of a Rectangle



Area of a rectangle

A = l × b

The area of any rectangle is calculated, once its length and width are known.
By multiplying length and breadth, the rectangle’s area will obtain a squareunit dimension.
In the case of a square, the area will become a side square.
The main difference between a square and a rectangle is that the length and breadth are equal for a square.
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How to Calculate the Area of a Rectangle
Follow the steps below to find the area:
Step 1: Note the dimensions of length and width from the given data
Step 2: Multiply the length and width values
Step 3: Write the answer in square units
Area of Rectangle Using Diagonal
We know that the diagonal of a rectangle is calculated using the formula:
(Diagonal)2 = (Length)2 + (Width)2
From this,
(Length)2 = (Diagonal)2 – (Width)2
Length = √Diagonal2–Width2Diagonal2–Width2
Or
(Width)2 = (Diagonal)2 – (Length)2
Width = √Diagonal2–Length2Diagonal2–Length2
Now, the area of rectangle = Length × Width
Area = Length × √Diagonal2–Length2Diagonal2–Length2
Or
Area = √Diagonal2–Width2Diagonal2–Width2 × Width
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Important Facts
Below are some special formulas related to the rectangle area:
Formula: Area = Width √(Diagonal2–Width2)Width (Diagonal2–Width2)
2. Find a missing side length when the area is known
Formula: Length = Area/Width
Why the Area of the rectangle is length x breadth?
The diagonals of the rectangle divide it into two equivalent rightangled triangles.
Therefore, the area of the rectangle will be equal to the sum of the area of these two triangles.
Now, let diagonal AC divide the rectangle into two right triangles, i.e. ∆ABC and ∆ADC.
We know that ∆ABC and ∆ADC are congruent triangles.
Area of ∆ABC = ½ x base x height = ½ x AB x BC = ½ x b x l
Area of ∆ADC = ½ x base x height = ½ x CD x AD = ½ x b x l
Area of rectangle ABCD = Area of ∆ABC + Area of ∆ADC
Area (ABCD) = 2(½ x b x l)
Area (ABCD) = l x b
Thus, the area of the rectangle = Length x Breadth
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Table Of Contents
1. What is the area of a rectangle?
2. Area of a rectangle formula
3. How to calculate the area of a rectangle?
4. Area of a rectangle using diagonal
5. Important facts
6. Why the area of a rectangle is length in breadth?
What is the Area of a Rectangle?
Definition: The area of a rectangle is the region occupied by a rectangle within its four sides or boundaries.
The area of a rectangle depends on its sides. Essentially, the formula for area is equal to the product of the rectangle's length and breadth. The perimeter of a rectangle, on the other hand, is equal to the total of its four sides. As a result, the region contained by the rectangle's perimeter equals its area. In the case of a square, however, because all of the sides are equal, the area of the square will be equal to the square of the side length.
Area of rectangle = Length x Breadth
A = lb 
Area of Rectangle Formula
The formula to find the area of a rectangle depends on its length and width. The area of a rectangle is calculated in units by multiplying the width (or breadth) by the Length of a rectangle. Lateral and total surface areas can be calculated only for threedimensional figures. We cannot calculate the rectangle since it is a twodimensional figure. Thus, the perimeter and the area of a rectangle is given by:
The formula for the Area of a Rectangle  

Area of a Rectangle  A = l × b 
The area of any rectangle is calculated, once its length and width are known. By multiplying length and breadth, the rectangle’s area will obtain a squareunit dimension. In the case of a square, the area will become a side square. The main difference between a square and a rectangle is that the length and breadth are equal for a square.
Related Links
How to Calculate the Area of a Rectangle
Follow the steps below to find the area:
Step 1: Note the dimensions of length and width from the given data
Step 2: Multiply the length and width values
Step 3: Write the answer in square units
Area of Rectangle Using Diagonal
We know that the diagonal of a rectangle is calculated using the formula:
(Diagonal)2 = (Length)2 + (Width)2
From this,
(Length)2 = (Diagonal)2 – (Width)2
Length = √Diagonal2–Width2Diagonal2–Width2
Or
(Width)2 = (Diagonal)2 – (Length)2
Width = √Diagonal2–Length2Diagonal2–Length2
Now, the area of rectangle = Length × Width
Area = Length × √Diagonal2–Length2Diagonal2–Length2
Or
Area = √Diagonal2–Width2Diagonal2–Width2 × Width
You may also read
Important Facts
Below are some special formulas related to the rectangle area:
Formula: Area = Width √(Diagonal2–Width2)Width (Diagonal2–Width2)
2. Find a missing side length when the area is known
Formula: Length = Area/Width
Why the Area of the rectangle is length x breadth?
The diagonals of the rectangle divide it into two equivalent rightangled triangles. Therefore, the area of the rectangle will be equal to the sum of the area of these two triangles.
Now, let diagonal AC divide the rectangle into two right triangles, i.e. ∆ABC and ∆ADC.
We know that ∆ABC and ∆ADC are congruent triangles.
Area of ∆ABC = ½ x base x height = ½ x AB x BC = ½ x b x l
Area of ∆ADC = ½ x base x height = ½ x CD x AD = ½ x b x l
Area of rectangle ABCD = Area of ∆ABC + Area of ∆ADC
Area (ABCD) = 2(½ x b x l)
Area (ABCD) = l x b
Thus, the area of the rectangle = Length x Breadth
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Area of rectangle Solved Examples
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 squaremetres
What is the formula for area of rectangle?
Area = Length x Breadth
What is the perimeter of rectangle?
Perimeter (rectangle) = 2 (Length + Breadth)