Perimeter Of A Parallelogram - Math Open Reference

Math Open Reference Home Contact About Subject Index Perimeter of a parallelogram Definition: The total distance around the outside of a parallelogram Try this Drag any orange dot to resize the parallelogram. The perimeter is calculated as you drag. Drag point D to change the base length.

How to find the perimeter of a parallelogram

Like any polygon, the perimeter is the total distance around the outside, which can be found by adding together the length of each side. In the case of a parallelogram, each pair of opposite sides is the same length, so the perimeter is twice the base plus twice the side length. Or as a formula:

perimeter = 2(w+h)
where:
w	is the base length of the parallelogram
h	is the side length

In the figure above, drag any orange dot to resize the parallelogram. From the side lengths shown, calculate the perimeter and verify your result matches the formula at the top of the diagram.

Other polygon topics

General

• Polygon general definition
• Quadrilateral
• Regular polygon
• Irregular polygon
• Convex polygons
• Concave polygons
• Polygon diagonals
• Polygon triangles
• Apothem of a regular polygon
• Polygon center
• Radius of a regular polygon
• Incircle of a regular polygon
• Incenter of a regular polygon
• Circumcircle of a polygon
• Parallelogram inscribed in a quadrilateral

Types of polygon

• Square
• Diagonals of a square
• Rectangle
• Diagonals of a rectangle
• Golden rectangle
• Parallelogram
• Rhombus
• Trapezoid
• Trapezoid median
• Kite
• Inscribed (cyclic) quadrilateral
• Inscribed quadrilateral interior angles
• Inscribed quadrilateral area
• Inscribed quadrilateral diagonals

Area of various polygon types

• Regular polygon area
• Irregular polygon area
• Rhombus area
• Kite area
• Rectangle area
• Area of a square
• Trapezoid area
• Parallelogram area

Perimeter of various polygon types

• Perimeter of a polygon (regular and irregular)
• Perimeter of a triangle
• Perimeter of a rectangle
• Perimeter of a square
• Perimeter of a parallelogram
• Perimeter of a rhombus
• Perimeter of a trapezoid
• Perimeter of a kite

Angles associated with polygons

• Exterior angles of a polygon
• Interior angles of a polygon
• Relationship of interior/exterior angles
• Polygon central angle

Named polygons

• Tetragon, 4 sides
• Pentagon, 5 sides
• Hexagon, 6 sides
• Heptagon, 7 sides
• Octagon, 8 sides
• Nonagon Enneagon, 9 sides
• Decagon, 10 sides
• Undecagon, 11 sides
• Dodecagon, 12 sides

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