C009 · Orthogonal ProfilesISO 128 · 1:1
Symmetric L-Shape — composite figure at 1:1 scale with dimensions, area 25.92 cm²
A = L² − l²

Primary school · TypeLab 2D

Symmetric L-Shape

Symmetric L-Shape: a composite plane figure made of a square with side 6.6 cm, minus a square with side 8.4 cm. It is a classic primary school geometry problem (“Orthogonal Profiles”). The net area is 25.92 cm² and the total perimeter is 26.4 cm.

Certified measurements (1:1 scale)

Net area
25.92 cm²
Total perimeter
26.4 cm
Bounding box
6.6 × 6.6 cm
Basic shapes
2
Open in TypeLab 2D

Step-by-step decomposition

  1. 1.Basesquare with side 6.6 cm43.56 cm²
  2. 2.−square with side 8.4 cm70.56 cm²

Area of each basic shape before the Boolean composition.

How to find the area

Area formula: A = L² − l²

The parts overlap or intersect, so the net area (25.92 cm²) comes from the exact Boolean operation rather than from a plain sum of the part areas.

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.

Composite figures →