C031 · Composite PolygonsISO 128 · 1:1
Double V-Notched Plate — composite figure at 1:1 scale with dimensions, area 37.24 cm²
A = B·H − 2·(½·b_v·p)

Middle school · TypeLab 2D

Double V-Notched Plate

Double V-Notched Plate: a composite plane figure made of a rectangle 6.4 × 7 cm, minus a triangle with base 4.2 cm and height 1.8 cm, minus a triangle with base 4.2 cm and height 1.8 cm. It is a classic middle school geometry problem (“Composite Polygons”). The net area is 37.24 cm² and the total perimeter is 29.46 cm.

Certified measurements (1:1 scale)

Net area
37.24 cm²
Total perimeter
29.46 cm
Bounding box
6.4 × 7 cm
Basic shapes
3
Open in TypeLab 2D

Step-by-step decomposition

  1. 1.Baserectangle 6.4 × 7 cm44.8 cm²
  2. 2.−triangle with base 4.2 cm and height 1.8 cm3.78 cm²
  3. 3.−triangle with base 4.2 cm and height 1.8 cm3.78 cm²

Area of each basic shape before the Boolean composition.

How to find the area

Area formula: A = B·H − 2·(½·b_v·p)

Split the figure into basic shapes, find each area, add the joined parts and subtract the cut-outs: A = 44.8 − 3.78 − 3.78 = 37.24 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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