LaTeX
A=\frac{1}{2}(b_1+b_2)hVariables
- b₁,b₂: parallel side lengths
- h: perpendicular height
How to use this formula
Calculates area from parallel bases and height.
Important notes
- Both bases must be parallel.
Quick example
b₁=4,b₂=8,h=3 gives A=18.
Applicability, worked calculation, and verification
Assumptions and domain checks
- Both bases must be parallel.
- For the Trapezoid Area, every denominator must be nonzero, and the numerator and denominator must remain correctly grouped.
- Use one consistent unit system and confirm whether lengths, areas, volumes, and angles use the dimensions implied by the formula.
Worked example
b₁=4,b₂=8,h=3 gives A=18.
Common mistakes
- When copying Trapezoid Area, keep the complete numerator and denominator grouped; a missing brace or parenthesis changes the result.
- For the Trapezoid Area, do not report a length, area, or volume with the wrong unit dimension, and keep intermediate precision until the final rounding step.
Continue the workflow
Use Trapezoid Area in your own work
- Check the domainMatch the variables and assumptions to the problem before substituting values.
- Copy the exact notationPreserve grouping, signs, and exponents in
A=\frac{1}{2}(b_1+b_2)h. - Edit or convertOpen the expression in the LaTeX editor, then export it for your document or web page.
Review and verification
Last reviewed: 2026-07-23
Automated quality check: Kept noindex until the missing evidence is supplied.
Formula references
- Algebra and Trigonometry 2eOpenStax, Rice University — Reviewed algebra, functions, sequences, trigonometry, and analytic geometry definitions and examples.
Frequently asked questions
What is the Trapezoid Area used for?
Calculates area from parallel bases and height.
Can I copy this formula as LaTeX?
Yes. Copy A=\frac{1}{2}(b_1+b_2)h or open it in the LaTeX editor.
What should I check before using it?
Confirm that each variable, unit, domain restriction, and assumption matches the problem.