C015 · Frames & CutoutsISO 128 · 1:1
Square Frame — composite figure at 1:1 scale with dimensions, area 31.8 cm²
A = L² − l²

Primary school · TypeLab 2D

Square Frame

Square Frame: a composite plane figure made of a square with side 6.8 cm, minus a square with side 3.8 cm. It is a classic primary school geometry problem (“Frames & Cutouts”). The net area is 31.8 cm² and the total perimeter is 42.4 cm, including 15.2 cm along the inner hole.

Certified measurements (1:1 scale)

Net area
31.8 cm²
Total perimeter
42.4 cm
Outer boundary
27.2 cm
Hole boundaries
15.2 cm
Bounding box
6.8 × 6.8 cm
Basic shapes
2
Open in TypeLab 2D

Step-by-step decomposition

  1. 1.Basesquare with side 6.8 cm46.24 cm²
  2. 2.−square with side 3.8 cm14.44 cm²

Area of each basic shape before the Boolean composition.

How to find the area

Area formula: A = L² − l²

Split the figure into basic shapes, find each area, add the joined parts and subtract the cut-outs: A = 46.24 − 14.44 = 31.8 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.

Composite figures →