Primary school · TypeLab 2D
Square with Rhombus Cutout
Square with Rhombus Cutout: a composite plane figure made of a square with side 6.8 cm, minus a rhombus with diagonals 4.6 and 3.4 cm. It is a classic primary school geometry problem (“Frames & Cutouts”). The net area is 38.42 cm² and the total perimeter is 38.64 cm, including 11.44 cm along the inner hole.
Certified measurements (1:1 scale)
- Net area
- 38.42 cm²
- Total perimeter
- 38.64 cm
- Outer boundary
- 27.2 cm
- Hole boundaries
- 11.44 cm
- Bounding box
- 6.8 × 6.8 cm
- Basic shapes
- 2
Step-by-step decomposition
- 1.Basesquare with side 6.8 cm46.24 cm²
- 2.−rhombus with diagonals 4.6 and 3.4 cm7.82 cm²
Area of each basic shape before the Boolean composition.
How to find the area
Area formula: A = l² − ½·D·d
Split the figure into basic shapes, find each area, add the joined parts and subtract the cut-outs: A = 46.24 − 7.82 = 38.42 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.
