107 LearnersLast updated on July 15th, 2025
Area of Rectangle
The area of a rectangle is the surface enclosed by its boundary, calculated using the formula. Other than mathematics, the area of a rectangle is commonly used for tasks such as material cutting, painting the walls, and so on. In this topic, we will learn about the area of the rectangle.
What is the Area of Rectangle?
The area of the rectangle is measured by using the formula Area = Length × Width. For example; A = L × W = 5 × 3 = 15 m2 , here the length of the rectangle is 5 cm and the width is 3 cm.
Area of rectangle Formula
Formula 1: Area = Length × Width
Formula 2 (if applicable): Length = Area / Width
Formula Derivation: A rectangle has two sides. We denote one side as its length (l) and the other as its width (w), we can visualize the rectangle having opposite sides that are equal in length. So the formula comes like Area = Length × Width.
How to Find the Area of Rectangle
The area of a rectangle is defined as the amount of space enclosed within the rectangle. The area is measured in square units such as m2, cm2, and ft2. For example, The formula for the area of a rectangle is: Area = Length × Width; Here for a rectangle length = 10m, Width = 5m = A = 10 × 5 = 50 m2. The same formula is used to calculate the area of a rectangle in square units.
Unit of Area of Rectangle
The basic unit of measurement of the area of a rectangle is square units. These are expressed in various forms depending on the units for their width and length.
- Square meters (m2): Used in metric measurements.
- Square feet (ft²): Commonly used in the United States.
- Square centimeters (cm²): Often used for smaller dimensions
Special Cases or Variations for the Area of Rectangle
Case 1: A square is a specific type of rectangle where all four sides are equal in length.
For a square, the formula for the area simplifies to
Area = s2
Where s is the length of one side. The area calculation is simple but highlights the importance of all sides being equal.
Case 2: In some places, the dimensions of a rectangle can change dynamically, such as in the application involving scaling and resizing.
If the length and width of the rectangle are expressed as functions of a variable, For example, Area(t) = l(t) × w(t).
Case 3: There is an odd link between a rectangle’s area and dimensions when its perimeter is fixed. For instance:
Given a fixed perimeter P,
P = 2(1 + w)
Rearranging gives: w = p / 2 - l
Then substituting this into the area formula:
Area = l (p / 2 - l) = P / 2l - l 2
This indicates that the area will reach its maximum when l = w.
Tips and Tricks for Area of Rectangle
Learning tips and tricks for calculating the area of a rectangle can help you work faster and more effectively. These strategies address common difficulties and reduce the chances of errors in your calculation. Here are some given below:
- Memorizing the multiplication tables for numbers 1 to 12 helps speed up the process of finding the area of the rectangle.
- To simplify the calculations, split the length and width into smaller parts.
- Always remember the formula, do not mismatch with others. Area = Length × Width.
Common Mistakes and How to Avoid Them in Area of Rectangle
Did you know that while working with the area of a rectangle, children can find some difficulties? For that, we have many solutions to resolve these problems. Here are some given below:
Mistake 1
Calculating the height and base using different measurements, including centimeters and meters.
Before starting the calculation, convert all the measurements to the same unit.
Mistake 2
Getting confused with length and width.
Remember that the width is the shorter side and the length is the longer side.
Mistake 3
Using the wrong formula instead of using the correct one.
Always verify that the shape applies the correct formula.
Mistake 4
Stopping the calculation too early, which leads to inaccurate results.
Do all calculations first and then go for rounding only the final answer.
Mistake 5
Confusing with multiplication.
Use the correct formula, Area = Length × Width.
Area of Rectangle Examples
Problem 1
A rectangle has a 9 meters length and 5 meters width. Find the area of the rectangle.
Use the formula to calculate the area of a rectangle:
Area = Length × Width
Area = 9 m × 5 m = 45m2
Explanation
Multiply the length and the width to find the area.
So the area of the rectangle is 45m2.
Problem 2
The area of a rectangle is 60 cm2, and the width is 6 cm. Find its Length.
By using the formula:
60 = Length × 6
Length = 60 / 6 = 10 cm
Explanation
Divide the given area by the width and find the length. Therefore, the length is 10 cm.
Problem 3
A rectangular garden is 12 meters in length and 10 meters in width. Find the area that needs to be covered for grass.
Area = Length × Width = 12 m × 10 m = 120m2
Explanation
To find the area of the garden that needs grass coverage, multiply the given measurements.
FAQs on Area of Rectangle
1.What is the formula that is used to calculate the area of a rectangle?
2.Give some examples of real-world applications for the area of a rectangle.
3.Difference between the area and the perimeter of a rectangle?
4.What is the basic unit of area?
5.Can a rectangle be a square?
Glossaries of Terms Related to Area of Rectangle
- Area: The space that is enclosed within the boundaries of a two-dimensional shape measured in square units
- Length: The longer side of a rectangle, denoted as l. It is one of the dimensions used to calculate the area of the rectangle.
- Width: The shorter side of a rectangle, denoted as w. It is the other side used to calculate the area.
