Trapezium (trapezoid) Formula | Math

The trapezium (or trapezoid) formula calculates the area of a quadrilateral with one pair of parallel sides. It relies on the lengths of those parallel bases and the height between them.
where [ a ] and [ b ] are the parallel sides (bases), and [ h ] is the perpendicular height.

This averages the bases and multiplies by height, derived by dividing the shape into a rectangle and triangles.

Perimeter Calculation
Perimeter sums all four sides: [ P = a + b + c + d ], with [ c ] and [ d ] as non-parallel legs.
For isosceles trapeziums (equal legs), this simplifies design but uses the same area rule.

Example Application
For bases 5 cm and 9 cm with height 4 cm:

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