Trapezoid Area Calculator
The Trapezoid Area Calculator provides accurate surface area results using the lengths of both bases and the height. Perfect for students, engineers, architects, and DIY projects that require precise trapezoidal measurements in academic, technical, or practical applications.
Updated at: 05/16/2025Advertisement
How to use the trapezoid area calculator
The trapezoid area calculator is an essential tool for students, teachers, architects, and engineers who need to calculate the area of trapezoid-shaped surfaces. This calculator uses a simple geometry formula to calculate the area based on the bases and height.
- Measure the longer base of the trapezoid (the longer parallel side)
- Measure the shorter base of the trapezoid (the shorter parallel side)
- Measure the height of the trapezoid (perpendicular distance between the bases)
- Enter the obtained values in the corresponding fields, using meters as the unit of measurement
- Click the 'Calculate' button to get the result in square meters
Trapezoid area calculation formula
The calculation of a trapezoid's area is performed using a formula that relates the bases and height.
Area = ((longer base + shorter base) × height) / 2
This formula considers that:
- The longer base is the length of the longer parallel side
- The shorter base is the length of the shorter parallel side
- The height is the perpendicular distance between the parallel bases
Practical calculation examples
For better understanding, let's analyze some practical examples of area calculation:
- Trapezoid with longer base of 8m, shorter base of 6m, and height of 4m. Area = ((8 + 6) × 4) / 2 = 28m²
- Trapezoid with longer base of 10m, shorter base of 7m, and height of 5m. Area = ((10 + 7) × 5) / 2 = 42.5m²
- Trapezoid with longer base of 12m, shorter base of 8m, and height of 6m. Area = ((12 + 8) × 6) / 2 = 60m²
Frequently Asked Questions (FAQ)
What is a trapezoid?
A trapezoid is a quadrilateral that has two parallel sides of different lengths, called bases. The other two sides are not parallel and can have different lengths.
How to measure the height correctly?
The height of the trapezoid must be measured perpendicular to the bases, that is, forming a 90-degree angle with the parallel bases. This is the shortest distance between the bases.
When should I use this calculator?
This calculator is ideal for any situation where you need to calculate the area of a trapezoid-shaped surface, such as a plot of land, a roof, a garden bed, or any other structure with a trapezoidal shape.
Why divide by 2 in the formula?
The division by 2 in the formula occurs because the area of a trapezoid can be understood as the average of the areas of two rectangles: one with the longer base and another with the shorter base, both with the same height.
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