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) |