An Area of a Trapezoid Calculator helps you find the area of a trapezoid using the lengths of its two parallel sides and its perpendicular height. Enter the two base lengths and the height to get an instant result.
This calculator is useful for geometry, construction, design, landscaping, flooring, and other projects involving trapezoid-shaped spaces.
What Is a Trapezoid?
A trapezoid is a four-sided shape with one pair of parallel sides. The parallel sides are called bases. The perpendicular distance between the bases is called the height.
To calculate the area, you need:
- Base 1
- Base 2
- Perpendicular height
How to Use the Area of a Trapezoid Calculator
Step 1: Enter Base 1
Enter the length of one parallel side of the trapezoid.
Step 2: Enter Base 2
Enter the length of the other parallel side.
Step 3: Enter the Height
Enter the perpendicular distance between the two parallel bases. Do not use a slanted side as the height.
Step 4: View the Area
The calculator adds the two base lengths, multiplies the result by the height, and divides the answer by 2.
Area of a Trapezoid Formula
Area=21×(Base1+Base2)×Height
The result is shown in square units, such as square centimetres, square metres, square inches, or square feet.
Example Calculation
Suppose a trapezoid has the following measurements:
- Base 1: 5 cm
- Base 2: 8 cm
- Height: 4 cm
Step 1: Add the Bases
Base1+Base2=5 cm+8 cm=13 cm
Step 2: Multiply by the Height
Area=21×13 cm×4 cm
Step 3: Calculate the Area
Area=26 cm2
The area of the trapezoid is 26 square centimetres.
Important Tips
- Use the same unit for both bases and the height.
- The height must be perpendicular to the parallel bases.
- The result is always expressed in square units.
- Do not use the sloping side as the height unless it is perpendicular to both bases.
- Measure carefully when using the calculator for construction or material estimates.
Frequently Asked Questions
What is the formula for the area of a trapezoid?
Area=21×(Base1+Base2)×Height
What are the bases of a trapezoid?
The bases are the two parallel sides of the trapezoid. They can have different lengths.
What is the height of a trapezoid?
The height is the shortest perpendicular distance between the two parallel bases.
Can I use a slanted side as the height?
No. Only the perpendicular distance between the parallel bases can be used as the height in the area formula.
What units can I use?
You can use centimetres, metres, inches, feet, or any other unit. Use the same unit for both bases and the height.
Is the area measured in square units?
Yes. If the base and height are measured in centimetres, the area is measured in square centimetres. If they are measured in feet, the area is measured in square feet.
Can a trapezoid have two pairs of parallel sides?
Definitions can vary. In many school settings, a trapezoid has one pair of parallel sides, while a shape with two pairs is called a parallelogram. The trapezoid area formula also works when both bases have the same length.
What is the difference between trapezoid area and perimeter?
Area measures the space inside the trapezoid. Perimeter measures the total distance around all four sides.
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