Geometry

Area of a Trapezoid

Formula

A = ½ × (a + b) × h

What is Area of a Trapezoid?

The area of a trapezoid equals half the product of the sum of the parallel sides and the perpendicular distance between them.

Variables

A
A — Area
a
a — Length of one parallel side
b
b — Length of the other parallel side
h
h — Height (perpendicular distance between parallel sides)

Worked Examples

Example 1

Find the area of a trapezoid with parallel sides 6 cm and 10 cm, and height 4 cm.

Solution:

A = ½ × (6 + 10) × 4 = ½ × 16 × 4 = 32 cm²

Frequently Asked Questions

Related Formulas

Area of a Circle

A = π × r²

Circumference of a Circle

C = 2 × π × r

Area of a Rectangle

A = l × w

Area of a Triangle

A = ½ × b × h

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