High school (grades 9–10) · TypeLab 2D
I-Beam Cross Section
I-Beam Cross Section: a composite plane figure made of a rectangle 6.4 × 7.8 cm, minus a rectangle 4.6 × 2.4 cm, minus a rectangle 4.6 × 2.4 cm. It is a classic high school (grades 9–10) geometry problem (“Structural Sections”). The net area is 27.84 cm² and the total perimeter is 38 cm.
Certified measurements (1:1 scale)
- Net area
- 27.84 cm²
- Total perimeter
- 38 cm
- Bounding box
- 6.4 × 7.8 cm
- Basic shapes
- 3
Step-by-step decomposition
- 1.Baserectangle 6.4 × 7.8 cm49.92 cm²
- 2.−rectangle 4.6 × 2.4 cm11.04 cm²
- 3.−rectangle 4.6 × 2.4 cm11.04 cm²
Area of each basic shape before the Boolean composition.
How to find the area
Area formula: A = B·H − 2·b_c·h_c
Split the figure into basic shapes, find each area, add the joined parts and subtract the cut-outs: A = 49.92 − 11.04 − 11.04 = 27.84 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.
