104 LearnersLast updated on June 25th, 2025
Trapezium Area Calculator
Calculators are reliable tools for solving simple mathematical problems and advanced calculations like trigonometry. Whether you're cooking, tracking BMI, or planning a construction project, calculators will make your life easy. In this topic, we are going to talk about trapezium area calculators.
What is a Trapezium Area Calculator?
A trapezium area calculator is a tool to figure out the area of a trapezium given its dimensions. Since a trapezium has two parallel sides of different lengths and non-parallel sides, the calculator helps find the area quickly and accurately.
This calculator makes the calculation much easier and faster, saving time and effort.
How to Use the Trapezium Area Calculator?
Given below is a step-by-step process on how to use the calculator:
Step 1: Enter the lengths of the two parallel sides: Input these lengths into the given fields.
Step 2: Enter the height: Input the perpendicular distance between the two parallel sides.
Step 3: Click on calculate: Click on the calculate button to compute the area.
Step 4: View the result: The calculator will display the result instantly.
How to Calculate the Area of a Trapezium?
In order to calculate the area of a trapezium, there is a simple formula that the calculator uses. The formula for the area of a trapezium is:
Area = 0.5 × (Base1 + Base2) × Height
This formula adds the two parallel sides (bases), divides by 2 (to get the average length of the bases), and multiplies by the height to find the area.
Tips and Tricks for Using the Trapezium Area Calculator
When using a trapezium area calculator, there are a few tips and tricks that can make the process easier and avoid mistakes:
- Ensure accurate measurements of the bases and height.
- Remember that the height must be perpendicular to the bases.
- Use decimal precision appropriately to get a more accurate area.
Common Mistakes and How to Avoid Them When Using the Trapezium Area Calculator
We may think that when using a calculator, mistakes will not happen. But it is possible for errors to occur when using a calculator.
Mistake 1
Incorrect measurement of the height.
Ensure that the height is always perpendicular to the bases. An incorrect measurement can lead to a wrong area calculation.
Mistake 2
Swapping the base and height values.
Be careful to input the values in the correct fields. The bases should be the parallel sides, and the height should be the perpendicular distance between them.
Mistake 3
Neglecting decimal precision.
Avoid rounding too early in the calculation. Wait until the end to ensure a more accurate result.
Mistake 4
Using non-parallel sides as the bases.
The bases in a trapezium are the parallel sides. Using non-parallel sides will result in an incorrect computation.
Mistake 5
Assuming all calculators will handle all scenarios.
Some calculators may not account for specific irregularities, such as when the trapezium is not in standard form. Double-check your input and calculations if needed.
Trapezium Area Calculator Examples
Problem 1
Find the area of a trapezium with bases of 10 cm and 14 cm, and a height of 6 cm.
Use the formula: Area = 0.5 × (Base1 + Base2) × Height
Area = 0.5 × (10 + 14) × 6 = 0.5 × 24 × 6 = 72 cm²
Therefore, the area of the trapezium is 72 cm².
Explanation
By averaging the lengths of the bases and multiplying by the height, we get the area of the trapezium.
Problem 2
A trapezium has bases of 8 m and 12 m, and its height is 5 m. Calculate its area.
Use the formula: Area = 0.5 × (Base1 + Base2) × Height
Area = 0.5 × (8 + 12) × 5 = 0.5 × 20 × 5 = 50 m²
Therefore, the area of the trapezium is 50 m².
Explanation
The calculation shows the average of the bases multiplied by the height to find the area.
Problem 3
Determine the area of a trapezium with base lengths of 15 cm and 20 cm, and a height of 10 cm.
Use the formula: Area = 0.5 × (Base1 + Base2) × Height
Area = 0.5 × (15 + 20) × 10 = 0.5 × 35 × 10 = 175 cm²
Therefore, the area of the trapezium is 175 cm².
Explanation
The area is calculated by averaging the bases and multiplying by the height.
Problem 4
Calculate the area of a trapezium with bases of 7 m and 9 m, and a height of 4 m.
Use the formula: Area = 0.5 × (Base1 + Base2) × Height
Area = 0.5 × (7 + 9) × 4 = 0.5 × 16 × 4 = 32 m²
Therefore, the area of the trapezium is 32 m².
Explanation
The result is obtained by computing the average length of the bases and multiplying by the height.
Problem 5
A trapezium has bases of 12 inches and 18 inches, and a height of 7 inches. What is its area?
Use the formula: Area = 0.5 × (Base1 + Base2) × Height
Area = 0.5 × (12 + 18) × 7 = 0.5 × 30 × 7 = 105 in²
Therefore, the area of the trapezium is 105 in².
Explanation
The area is found by calculating the average of the bases and multiplying by the height.
FAQs on Using the Trapezium Area Calculator
1.How do you calculate the area of a trapezium?
2.What is the formula for the area of a trapezium?
3.Can the height be diagonal in a trapezium?
4.How important is precision in measurement for calculating trapezium area?
5.Is the trapezium area calculator accurate?
Glossary of Terms for the Trapezium Area Calculator
- Trapezium: A quadrilateral with at least one pair of parallel sides (bases).
- Base: One of the two parallel sides of a trapezium.
- Height: The perpendicular distance between the two bases of a trapezium.
- Area: The measure of the surface enclosed by the trapezium.
- Perpendicular: A line at a right angle to another line or surface.
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Seyed Ali Fathima S
About the Author
Seyed Ali Fathima S a math expert with nearly 5 years of experience as a math teacher. From an engineer to a math teacher, shows her passion for math and teaching. She is a calculator queen, who loves tables and she turns tables to puzzles and songs.
Fun Fact
: She has songs for each table which helps her to remember the tables
