C025 · Composite PolygonsISO 128 · 1:1
Six-Pointed Star — composite figure at 1:1 scale with dimensions, area 29.93 cm²
A = 3√3·l² (12 triangoli equilateri)

Middle school · TypeLab 2D

Six-Pointed Star

Six-Pointed Star: a composite plane figure made of a regular hexagon with side 2.4 cm, joined with a triangle with base 2.4 cm and height 2.08 cm, joined with a triangle with base 2.4 cm and height 2.08 cm, joined with a triangle with base 2.4 cm and height 2.08 cm, joined with a triangle with base 2.4 cm and height 2.08 cm, joined with a triangle with base 2.4 cm and height 2.08 cm, joined with a triangle with base 2.4 cm and height 2.08 cm. It is a classic middle school geometry problem (“Composite Polygons”). The net area is 29.93 cm² and the total perimeter is 28.8 cm.

Certified measurements (1:1 scale)

Net area
29.93 cm²
Total perimeter
28.8 cm
Bounding box
7.2 × 8.31 cm
Basic shapes
7
Open in TypeLab 2D

Step-by-step decomposition

  1. 1.Baseregular hexagon with side 2.4 cm14.96 cm²
  2. 2.+triangle with base 2.4 cm and height 2.08 cm2.49 cm²
  3. 3.+triangle with base 2.4 cm and height 2.08 cm2.49 cm²
  4. 4.+triangle with base 2.4 cm and height 2.08 cm2.49 cm²
  5. 5.+triangle with base 2.4 cm and height 2.08 cm2.49 cm²
  6. 6.+triangle with base 2.4 cm and height 2.08 cm2.49 cm²
  7. 7.+triangle with base 2.4 cm and height 2.08 cm2.49 cm²

Area of each basic shape before the Boolean composition.

How to find the area

Area formula: A = 3√3·l² (12 triangoli equilateri)

Split the figure into basic shapes, find each area, add the joined parts and subtract the cut-outs: A = 14.96 + 2.49 + 2.49 + 2.49 + 2.49 + 2.49 + 2.49 = 29.93 cm².

Editable in PowerPoint & Office

The .PPTX file contains native DrawingML shapes: outlines, dimensions and labels stay separate objects you can recolor and edit in PowerPoint, Keynote and Google Slides. The .SVG file is pure vector art at 1:1 scale on an A4 sheet, ready for print, LaTeX and textbook layout.

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