TYPEMATH
C021 · Composite PolygonsISO 128 · 1:1
Decomposed Right Trapezoid — composite figure at 1:1 scale with dimensions, area 27.3 cm²
A = b·h + ½·p·h = ½·(B+b)·h

Middle school · TypeLab 2D

Decomposed Right Trapezoid

Decomposed Right Trapezoid: a composite plane figure made of a rectangle 5 × 4.2 cm, joined with a triangle with base 4.2 cm and height 3 cm. It is a classic middle school geometry problem (“Composite Polygons”). The net area is 27.3 cm² and the total perimeter is 22.36 cm.

Certified measurements (1:1 scale)

Net area
27.3 cm²
Total perimeter
22.36 cm
Bounding box
8 × 4.2 cm
Basic shapes
2
Open in TypeLab 2D

Step-by-step decomposition

  1. 1.Baserectangle 5 × 4.2 cm21 cm²
  2. 2.+triangle with base 4.2 cm and height 3 cm6.3 cm²

Area of each basic shape before the Boolean composition.

How to find the area

Area formula: A = b·h + ½·p·h = ½·(B+b)·h

Split the figure into basic shapes, find each area, add the joined parts and subtract the cut-outs: A = 21 + 6.3 = 27.3 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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