Area Calculator › Area of a Trapezoid

Area of a Trapezoid Calculator

Find the area of a trapezoid from its two parallel sides and the height between them.

Area of a trapezoid
Result26 units²
Quick answer
The area of a trapezoid is the average of the two parallel sides, times the height: ½ × (a + b) × h. With parallel sides of 8 and 5 and a height of 4, that is ½ × 13 × 4 = 26 square units. The height is the perpendicular gap between the two parallel sides.

How it works

abh
Area = ½ × (a + b) × heighta and b are the two parallel sides
a
one parallel side
b
the other parallel side
height
perpendicular distance between them

This is a British "trapezium" and a US "trapezoid": one pair of parallel sides. Use the perpendicular height, not a slanted edge.

Frequently asked questions

What is the area of a trapezoid with sides 8 and 5 and height 4?

26 square units, from ½ × (8 + 5) × 4.

What is the formula for a trapezoid?

Half the sum of the two parallel sides, times the height.

Which sides are a and b?

The two parallel sides. The slanted sides are not used in the area formula.

Trapezoid or trapezium?

US English calls it a trapezoid; British English calls the same shape a trapezium.