Stretched Pentagon Calculator

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 of the corners 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.

	Pentagon side (a):
	Elongation (b):
	Long side (c):
	Length (l):
	Height (h):
	Perimeter (p):
	Area (A):
	Round to   0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15   decimal places.

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

In geometry, stretching or elongation refers to the process of adding additional parallel edges to one side of a shape, extending perpendicularly outward from that side. These edges possess a specific length and are subsequently connected by one, or in the case of three-dimensional objects, by several additional perpendicular edges as closures. This is the case, for instance, with an elongated semicircle, or, for three-dimensional shapes, with the elongated Johnson pyramids. Another method of elongation, exemplified here by this pentagon, involves slicing the shape at a specific point, pulling the two sections straight apart, and then rejoining them. This cut is often made centrally, along an axis of symmetry. A corresponding three-dimensional shape is the elongated rhombic dodecahedron.
In the case of elongated regular polygons, the axis of symmetry, along which the division occurs, for an odd number of vertices (as is the case here) passes through a vertex and the opposite side. The number of vertices increases by one. When the number of vertices is even, as with the stretched hexagon and the stretched octagon, this line passes through two opposite vertices, the number of vertices remains unchanged. Such elongated polygons possess an axis of symmetry running perpendicularly through the midpoint of the elongated edges. In polygons with an odd number of vertices, all other symmetries are lost during the elongation process. The calculation is straightforward. For the area, the corresponding rectangle is added. For the length one elongation is added, for the perimeter two.

Calculation of area and other dimensions: stretched pentagon

Last updated on 05/18/2026. Author: Jürgen Kummer

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