Trapezoid Area Calculator – Guide & Formulas
Calculate the area, perimeter, and missing dimensions of a trapezoid or trapezium using base lengths and height.
Determine the surface area of a trapezoid (or trapezium) instantly. Supports calculations with base lengths, height, and side slant parameters.
Key Takeaway
Use the free Trapezoid Area Calculator to calculate the area, perimeter, and missing dimensions of a trapezoid or trapezium using base lengths and height. Get instant results with step-by-step explanations.
How to Use the Trapezoid Area Calculator
- Enter the lengths of both parallel bases (Base a and Base b).
- Enter the vertical perpendicular height.
- Check the resulting surface area. Optionally provide slant sides to compute the perimeter.
The Formula
Variable Definitions
- a, b: Lengths of the parallel bases
- h: Perpendicular height between the bases
- A: Total calculated area
Area of a Trapezoidal Garden Bed
A landscaping bed has parallel sides measuring 8 feet and 12 feet, and a height of 6 feet. Find its surface area.
- Step 1: Set base a = 8 ft, base b = 12 ft, height h = 6 ft.
- Step 2: Average the two bases: (8 + 12) / 2 = 10 ft.
- Step 3: Multiply by the height: 10 * 6 = 60 square feet.
- Step 4: The total surface area is 60 square feet.
Frequently Asked Questions
What makes a shape a trapezoid?
A trapezoid (or trapezium in British English) is a quadrilateral with at least one pair of parallel sides (called the bases).
How is trapezoid perimeter calculated?
Perimeter is simply the sum of all four sides: Base a + Base b + Left slant leg + Right slant leg.
What is an isosceles trapezoid?
It is a trapezoid where the non-parallel slant sides (legs) are equal in length, and the base angles are also equal.