C006 · Additive FiguresISO 128 · 1:1
Geometric Pine — composite figure at 1:1 scale with dimensions, area 28.32 cm²
A = A_trap + A_tri + A_rett

Primary school · TypeLab 2D

Geometric Pine

Geometric Pine: a composite plane figure made of a trapezoid with bases 6.8 and 3.2 cm and height 3.2 cm, joined with a triangle with base 5 cm and height 3.2 cm, joined with a rectangle 1.8 × 2.4 cm. It is a classic primary school geometry problem (“Additive Figures”). The net area is 28.32 cm² and the total perimeter is 28.86 cm.

Certified measurements (1:1 scale)

Net area
28.32 cm²
Total perimeter
28.86 cm
Bounding box
6.8 × 8.8 cm
Basic shapes
3
Open in TypeLab 2D

Step-by-step decomposition

  1. 1.Basetrapezoid with bases 6.8 and 3.2 cm and height 3.2 cm16 cm²
  2. 2.+triangle with base 5 cm and height 3.2 cm8 cm²
  3. 3.+rectangle 1.8 × 2.4 cm4.32 cm²

Area of each basic shape before the Boolean composition.

How to find the area

Area formula: A = A_trap + A_tri + A_rett

Split the figure into basic shapes, find each area, add the joined parts and subtract the cut-outs: A = 16 + 8 + 4.32 = 28.32 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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