Area of a Polygon

Area of a Polygon

The measurement of a two-dimensional region enclosed by a polygonal chain.

Formulas

The following formulas can be used to find the area A of some common polygons:

Area of a square

A = s\(^2\) s: length of one side
Area of a rhombus

A = \(\frac {d\space ×\space D}{2}\) d: length of the shorter diagonal
D: length of the longer diagonal
Area of a parallelogram

A = b × h b: base
h: height
Area of rectangle

A = b × h b: base
h: height
Area of a triangle

A = \(\frac{b\space ×\space{h}}{2}\) b: base
h: height
Area of a trapezoid

A = \(\frac{(b\space+\space{B})\space×\space{h}}{2}\) b: shorter base
B: longer base
h: height
Area of a regular convex polygon

A = \(\frac{a\space×\space{P}}{2}\) s: length of a side
a: slant height
n: number of sides
P: perimeter (Pns)

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