Stretched Pentagon Calculator

Name: Stretched Pentagon - Geometry Calculator
Author: Jürgen Kummer

Calculations at a stretched or elongated pentagon, a regular pentagon, where one side and an opposite corner get stretched. The stretched pentagon is a hexagon, because one corner becomes two and between them, a new side with the length b appears.
Enter two lengths and choose the number of decimal places. Then click Calculate.

Formulas:
c = a + b
l = a / 2 * ( 1 + √5 ) + b
h = a / 2 * √ 5 + 2 * √5
p = 5 * a + 2 * b
A = a² / 4 * √ 25 + 10 * √5 + b * h
Angle at ab: 144°

Lengths, height and perimeter have the same unit (e.g. meter), the area has this unit squared (e.g. square meter).

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