C057 · Structural SectionsISO 128 · 1:1
Hollow Rectangular Section — composite figure at 1:1 scale with dimensions, area 28.8 cm²
A = B·H − (B−2s)·(H−2s)

High school (grades 9–10) · TypeLab 2D

Hollow Rectangular Section

Hollow Rectangular Section: a composite plane figure made of a rectangle 6.4 × 8 cm, minus a rectangle 4 × 5.6 cm. It is a classic high school (grades 9–10) geometry problem (“Structural Sections”). The net area is 28.8 cm² and the total perimeter is 48 cm, including 19.2 cm along the inner hole.

Certified measurements (1:1 scale)

Net area
28.8 cm²
Total perimeter
48 cm
Outer boundary
28.8 cm
Hole boundaries
19.2 cm
Bounding box
6.4 × 8 cm
Basic shapes
2
Open in TypeLab 2D

Step-by-step decomposition

  1. 1.Baserectangle 6.4 × 8 cm51.2 cm²
  2. 2.−rectangle 4 × 5.6 cm22.4 cm²

Area of each basic shape before the Boolean composition.

How to find the area

Area formula: A = B·H − (B−2s)·(H−2s)

Split the figure into basic shapes, find each area, add the joined parts and subtract the cut-outs: A = 51.2 − 22.4 = 28.8 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.

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