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Area of a Trapezoid

๐Ÿ“Š beginner
$$A = \frac{1}{2}(a+b)h$$
Calculates the area of a quadrilateral with at least one pair of parallel sides.
Variables & Units
$a, b$
Lengths of parallel bases
Unit: Length units
$h$
Height (perpendicular distance)
Unit: Length units
Key Information
๐Ÿ“ Derived From
Decomposition into a rectangle and two triangles.
๐Ÿ’ก Example
Area of a trapezoid with bases $4$ and $6$ and height $5$.
๐Ÿ”ง Applications
Surveying and calculus (Trapezoidal rule for integration).
โš ๏ธ Constraints
Bases must be parallel.

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