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 (P = ns)