C020 · Frames & CutoutsISO 128 · 1:1
Swallowtail Pennant — composite figure at 1:1 scale with dimensions, area 30.24 cm²
A = B·H − ½·H·p

Primary school · TypeLab 2D

Swallowtail Pennant

Swallowtail Pennant: a composite plane figure made of a rectangle 7.6 × 4.8 cm, minus a triangle with base 4.8 cm and height 2.6 cm. It is a classic primary school geometry problem (“Frames & Cutouts”). The net area is 30.24 cm² and the total perimeter is 27.08 cm.

Certified measurements (1:1 scale)

Net area
30.24 cm²
Total perimeter
27.08 cm
Bounding box
7.6 × 4.8 cm
Basic shapes
2
Open in TypeLab 2D

Step-by-step decomposition

  1. 1.Baserectangle 7.6 × 4.8 cm36.48 cm²
  2. 2.−triangle with base 4.8 cm and height 2.6 cm6.24 cm²

Area of each basic shape before the Boolean composition.

How to find the area

Area formula: A = B·H − ½·H·p

Split the figure into basic shapes, find each area, add the joined parts and subtract the cut-outs: A = 36.48 − 6.24 = 30.24 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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