# Area Of A Rectangle- Definition, Formula, Examples (2023)

The number of unit squares that can fit into any form is its area. The term "unit" refers to one (1), therefore a unit square is a square having one (1) unit of side. As a result, the area of a rectangle is equal to the number of unit squares within the rectangle's edge. The area of a rectangle, on the other hand, is the space occupied within the rectangle's perimeter. The unit-length tiles in your home are a fantastic illustration of a rectangular form.

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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 readDefinition, Formulas, 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 into 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 arectangleis 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 three-dimensional figures. We cannot calculate the rectangle since it is a two-dimensional 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 in a square-unit dimension. In the case of a square, the area will become a side square. The main difference between a square and a rectangleis 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 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

• Perimeter of a rectangle
• Area of a square

### Important Facts

Below are some special formulas related to the rectangle area:

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

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 right-angled 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

• Volume Of A Sphere
• CM To Inches (cm to in) Converter
• Roman Numeral Conversion

Source: Safalta.com

Thearea of a rectangleis the region covered by the rectangle in a two-dimensional plane in geometry. A rectangle is a type of quadrilateral, a 2d shapethat has four sides and four vertices. All the four angles of the rectangle are right angles or equal to 90 degrees. The opposite sides of the rectangle are equal and parallel to each other. To be noted, a parallelogram also has its opposite sides equal and parallel to each other but the angles are not equal to 90 degrees.JoinSafalta School Onlineand prepare for Board Exams under the guidance of our expert faculty. Our online school aims to help students prepare for Board Exams by ensuring that students have conceptual clarity in all the subjects and are able to score their maximum in the exams. You may also readDefinition, Formulas, 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 into 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 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 arectangleis 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 three-dimensional figures. We cannot calculate for the rectangle since it is a two-dimensional figure. Thus, the perimeter and the area of a rectangle is given by:

The formula for the Area of a Rectangle
Area of a RectangleA = 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 in a square-unit dimension. In the case of a square, the area will become a side square. The main difference between square and rectangleis that the length and breadth are equal for square.

• Volume Of A Sphere
• CM To Inches (cm to in) Converter
• Roman Numeral Conversion

## 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 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

• Perimeter of a rectangle
• Area of a square

### Important Facts

Below are some special formulas related to the rectangle area:

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

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 right-angled 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

• Volume Of A Sphere
• CM To Inches (cm to in) Converter
• Roman Numeral Conversion

## Area of rectangle Solved Examples

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

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

## What is the formula for area of rectangle?

The formula for area of rectangle is:

## What is the perimeter of rectangle?

The perimeterof the rectangle is the sumof all its four sides. Hence,
Perimeter (rectangle) = 2 (Length + Breadth)

## What is the area of rectangle?

The areaof the rectangle is the region occupied by the sidesof therectangle.

## Why is the area of rectangle LB?

The areaof the rectangle is LB because we calculate here the squareunits of the rectangle. After multiplying the total squares in the length and total squares in the width of the rectangle, will give the total squares in rectangle.

## What is the unit of area?

The unit of area of any shape is a square unit. For example, sq.m. or m^2.

blog area of a rectangle area of a rectangle formula area of a rectangle examples

## FAQs

### Area Of A Rectangle- Definition, Formula, Examples? ›

Area of a rectangle = length × width = 8 feet × 5 feet = 40 square feet.

What is the area formula for rectangle example? ›

Given, length = 21 units and width = 11 units. The formula to observe the area of a rectangle is A = length × breadth (l × b). Substitute 21 for 'l' and11 for 'w' in this equation. So, area of the rectangle = 21 × 11 = 231 sq units.

What is the formula for area example? ›

Area Formula

For example, if you want to know the area of a square box with side 40 cm, you will use the formula: Area of Square = a2, where a is the side of the square. Similarly, the area of a triangle can also be found using its Area formula (1/2 × b ×h).

What is the definition of a rectangle with examples? ›

A rectangle is a type of quadrilateral that has its parallel sides equal to each other and all the four vertices are equal to 90 degrees. Hence, it is also called an equiangular quadrilateral. Since, the opposite sides are equal and parallel, in rectangle, therefore, it can also be termed as a parallelogram.

What is the area of a rectangle definition? ›

The area of a rectangle is the product of its length and width (breadth). The area of a rectangle can be calculated using the steps given below: Step 1: Note the dimensions of length and width (breadth) from the given data. Step 2: Find the product of the length and width values.

How do you find the area of a rectangle word problem? ›

Step 1: Read the given word problem and identify the length and the width of the rectangle. Step 2: Multiply the length and the width to get the area of the rectangle.

What are the 2 formulas for area? ›

FAQs on Area Formulas

Area formula for few shapes is given as, Area of square = (side) Area of rectangle = length × breadth. Area of triangle = (1/2) × base × height.

What are three examples of area? ›

Area and Perimeter Formulas
ShapeAreaTerms
CircleA = π × r2r = radius of the circle
TriangleA = ½ × b × hb = base h = height a,b and c are the sides of the triangle
SquareA = a2a = length of side
RectangleA = l × wl = length w = width
1 more row
Sep 7, 2020

What is a simple example of area? ›

Take a pencil and draw a square on a piece of paper. It is a 2-D figure. The space the shape takes up on the paper is called its Area. Now, imagine your square is made up of smaller unit squares.

What is rectangle definition for kids? ›

A rectangle is a 2D shape that has 4 sides, 4 corners, and 4 right angles. Opposite sides of a rectangle shape are the same length, with one pair being longer than the other pair. If all the sides of a rectangle were the same size, it would be known as a square.

### What are 3 real life examples of rectangle? ›

What are the Real Life Uses of a Rectangle:
• Laptops. A laptop has four sides, with the opposite sides being parallel to one another and having equal lengths. ...
• Mobile devices. Another example of a rectangular-shaped object utilised in daily life is a cell phone or mobile phone.
• Door. ...
• Chocolate Bar. ...
• Tabletop. ...
• Bed. ...
• The Curtain.

What is an example sentence for rectangle? ›

1. He handed me a little rectangle of white paper. 2. He drew a rectangle on the blackboard.

What is the definition of area of square and rectangle? ›

Since a square is also a rectangle, its area is equal to 𝐴 = 𝑙 𝑤 where the length is equal to the width; so for a square, 𝐴 = 𝑙 × 𝑙 . Hence, we can calculate the area of a square using just the length of one of the sides.

How to calculate an area? ›

Area is the term used to define the amount of space taken up by a 2D shape or surface. We measure area in square units : cm² or m². Area is calculated by multiplying the length of a shape by its width.

How do you calculate land area? ›

All you need to do is measure the length and the width in feet. Once this is done, multiply the length in feet with the width in feet to measure the size of the land. One square foot converts to 144 square inches.

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