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Area of a Rectangle Calculator
Welcome to our Area of a Rectangle Calculator page.
We explain how to find the area of a rectangle and provide a quick calculator to work it out for you, step-by-step.
There are also some worked examples and some worksheets for you to practice this skill.
Area of a Rectangle Calculator
This calculator finds the area of a rectangle when the side lengths are known.
How the Calculator Works
- Choose the length and width of the rectangle: you can choose a whole number, decimal or fraction.
- You can type a fraction by typing the numerator then '/' then the denominator.
- You can type a mixed number by typing the whole-number part, then a space then the fraction part.
- Examples: 2 1/2 (two and one-half); 3 4/5 (three and four-fifths); 7 1/3 (seven and one-third).
- Choose your units of measurement (default is none)
- Choose your desired accuracy (default is 2 decimal places)
- Click the Find Area button
- You will be shown the area as a decimal (and also a fraction if you typed the length as a fraction).
Area of a Rectangle Formula
The formula for the area of a rectangle is: \[ A = l \cdot w \; \]
where l is the length and w is the width of the rectangle
Area of a Rectangle Examples
Area of a Rectangle Example 1
Find the area of the rectangle below.
The length of rectangle is 12 cm and the width is 7 cm.
The area of a rectangle
\[ A = l \cdot w \; \] where l is the length and w is the width of the rectangle.
So if we substitute the values of the length and width into this equation, we get: \[ A = 12 \times 7 = 84 \]
The area of the rectangle is 84 cm2.
Area of a Rectangle Example 2
Find the area of the rectangle below.
The length of rectangle is 2.4 m and the width is 0.7 m.
The area of a rectangle
\[ A = l \cdot w \; \] where l is the length and w is the width of the rectangle.
So if we substitute the values of the length and width into this equation, we get: \[ A = 2.4 \times 0.7 = 1.68 \]
The area of the rectangle is 1.68 m2.
Area of a Rectangle Example 3
Find the area of the rectangle below giving your answer as a mixed fraction.
Although this shape is tilted, it is still a rectangle.
The length of rectangle is 3 ½ inches and the width is 8 ½ inches.
The area of a rectangle
\[ A = l \cdot w \; \] where l is the length and w is the width of the rectangle.
So if we substitute the values of the length and width into this equation, we get: \[ A = 3 {1 \over 2} \times 8 {1 \over 2} = {119 \over 4} = 29 {3 \over 4} \]
The area of the rectangle is 29 ¾ square inches.
Area of a Rectangle Example 4
Find the area of the rectangle below. Give your answer in cm2.
The length of rectangle is 2.1 m and the width is 45 cm.
First we need to convert 2.1 m into cm so that both measurements have the same units of measure.
1 m = 100 cm so 2.1 m = 2.1 x 100 = 210 cm
The area of a rectangle
\[ A = l \cdot w \; \] where l is the length and w is the width of the rectangle.
So if we substitute the values of the length and width into this equation, we get: \[ A = 210 \times 45 = 9450 \]
The area of the rectangle is 9450 cm2.
More Area Support and Resources
We have a range of other area worksheets and support pages for a range of different 2d shapes.
More Area & Volume Calculators
We have a range of area and volume calculators to help you find the area and volumes of a range of different 2d and 3d shapes.
Each calculator page comes with worked examples, formulas and practice worksheets.
Looking for more math calculators?
We have a wide range of free math calculators to help you.
Most of our calculators show you their working out so that you can see exactly what they have done to get the answer.
Our calculator hub page contains links to all of our calculators!
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