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Area Of Rectangle Formula – Definition, Examples | EDU.COMEDU.COMResourcesBlogGuidePodcastPlanBackHomesvg]:size-3.5">Math Glossarysvg]:size-3.5">Area of Rectangle FormulaArea Of Rectangle Formula – Definition, ExamplesTable of ContentsArea of Rectangle Formula Definition of Area of Rectangle

A rectangle is a 2-dimensional shape with four sides, four vertices, and four right angles. The two opposite sides in the rectangle are equal and parallel to each other. The area of a rectangle refers to the space covered by the shape or the space within the perimeter of the rectangle. In geometry, this concept helps us find the amount of space occupied by rectangular figures in two-dimensional or three-dimensional space.

The formula for finding the area of a rectangle is Area = length × width. This formula can be proven using unit squares, where we divide the rectangle into smaller unit squares and count them to find the total area. Alternatively, we can derive the formula by dividing the rectangle into two equal size right triangles using a diagonal, which shows that the area equals the product of the base and height of the rectangle.

Examples of Area of Rectangle Formula Example 1: Finding the Area of a Basic Rectangle Problem:

Calculate the area of a rectangle with a width of 5 cm and a length of 20 cm.

rectangle

Step-by-step solution:

Step 1, Write down what we know about the rectangle:

Width (w) = 5 cm Length (l) = 20 cm

Step 2, Apply the area formula by multiplying length by width:

Area = l × w = 20 × 5 = 100

Step 3, Add the correct unit for area, which is square centimeters:

Area = 100 cm² Example 2: Converting Units for a Rectangular Table Top Problem:

What is the area of a rectangular table top in m² with a length of 130 cm and a width of 110 cm?

rectangle table

Step-by-step solution:

Step 1, Convert the measurements from centimeters to meters:

Length of the table top = l = 130 cm = 1.3 m Width of the table top = w = 110 cm = 1.1 m

Step 2, Apply the area formula using the converted measurements:

Area of the rectangular table top = l × w = 1.3 m × 1.1 m = 1.43 m² Example 3: Finding the Width of a Rectangular Window Problem:

A rectangular window measures 12.5 feet in length. It has a 100 feet² area. Determine the width of the window.

rectangle window

Step-by-step solution:

Step 1, Write down what we know:

Area of the window = 100 feet² Length of the window = l = 12.5 feet Width of the window = w = ?

Step 2, Use the area formula and solve for the unknown width:

Area = l × w 100 = 12.5 × w

Step 3, Divide both sides by 12.5 to find the width:

w = 100 ÷ 12.5 = 8 feet Comments(8)MRMs. RodriguezNovember 5, 2025I've used this area of rectangle formula page with my students. The examples really helped them grasp the concept. Great resource!

WWriterEllaNovember 4, 2025I've used this area of rectangle formula page with my students. It's super clear, and the examples really helped them grasp the concept!

RReaderAliceNovember 4, 2025I've used this area of rectangle formula glossary with my students. It's super clear, and the examples really helped them grasp the concept!

MCMs. CarterSeptember 17, 2025I’ve used this page to help my kids understand the area of a rectangle, and the examples made it so easy for them to grasp! Love how it breaks everything down step by step.

EEcoMom2025September 10, 2025I used the Area Of Rectangle Formula examples from this page to help my son with his homework, and it really clicked for him! The step-by-step breakdown made it super easy to follow. Thanks for the clear explanation!

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