A = ½(a + b)h
Area
Add the two parallel bases, divide by two, then multiply by the perpendicular height.
NUT ENGINEERING TOOLS
Trapezoid Solver
See It. Solve It. Understand It.
Solve trapezoid area, height, missing bases, perimeter, and missing side lengths from the measurements you know.
Live Geometry
Diagram labels update when the trapezoid is solved.
Enter What You Know
Enter a supported combination of known measurements. Leave unknown values blank.
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Calculated Results
Solved trapezoid measurements from the values you entered.
Base 1
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Base 2
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Height
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Left Side
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Right Side
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Area
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Perimeter
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Your Solution
Nut shows the actual equation and substitution used.
Enter known measurements and solve the trapezoid to see the steps.
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How It Works
A general trapezoid has one pair of parallel sides. Area depends on the two bases and perpendicular height.
h = 2A ÷ (a + b)
Height
If both bases and area are known, height can be calculated directly.
b = 2A ÷ h − a
Missing Base
If area, height, and one base are known, the other base can be recovered.
P = a + b + c + d
Perimeter
Perimeter is the total distance around all four sides.
Nut Industries V2 — Development Preview