Trapezoid Calculator
Calculate area, find height, or find a missing base
Area of Trapezoid
60.00
Formula
A = ½ × (a + b) × h
📐 Formula
A = ½ × (a + b) × h
Area = ½ × (Top Base + Bottom Base) × Height
📝 Step-by-Step
💡 Did you know?A trapezoid is also called a trapezium in some countries! The formula works for any trapezoid, regardless of its shape.
What is a Trapezoid Area Calculator?
A trapezoid area calculator is a tool that helps you find the area of a trapezoid quickly and accurately. Whether you're a student learning geometry, a teacher preparing lessons, or a professional needing quick calculations, this tool makes it easy.
Formula
A = ½ × (a + b) × h
Where A = Area, a = Top Base, b = Bottom Base, h = Height
Example
Example: Find the area of a trapezoid with top base 8 cm, bottom base 12 cm, and height 6 cm
A = ½ × (a + b) × h
A = ½ × (8 + 12) × 6
A = ½ × 20 × 6
A = 60 cm²
Common Uses
- ▸Construction: Calculating areas for roofs, foundations, and irregular lots
- ▸Architecture: Designing trapezoidal windows, doors, and building features
- ▸Engineering: Calculating cross-sections of beams and channels
- ▸Land Surveying: Measuring irregular land plots and boundaries
- ▸Education: Students learning geometry and area calculations
Frequently Asked Questions
What is the difference between a trapezoid and a parallelogram?
A trapezoid has exactly one pair of parallel sides (the bases). A parallelogram has two pairs of parallel sides. They are different types of quadrilaterals.
Why do we divide by 2 in the formula?
Dividing by 2 comes from the fact that a trapezoid's area is the average of the two bases multiplied by the height. It's essentially the average of the top and bottom lengths.
Is a trapezoid called a trapezium in some countries?
Yes! In British English and many other countries, a trapezoid is called a 'trapezium.' The terminology varies by region.