Concept 4 of 10Foundation
Watch on YouTubeVideoComposite shapes — split & add
Real-life shapes often combine rectangles and triangles. Strategy:
- Divide the shape into simple known shapes (split with pencil).
- Compute the area of each piece.
- Add them (or subtract cut-outs).
Example
L-shape made of 10×6 rectangle with a 3×2 corner removed:
Area = 60 – 6 = 54 units².
Area = 60 – 6 = 54 units².
💡 Tip:Sometimes it's easier to take the bounding rectangle and SUBTRACT the 'missing' piece.
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5 questions to check what you just read.
0 / 5
- Q1.L-shape: 8×6 rectangle minus 3×2 cut-out. Area:
- Q2.Rectangle 10×5 with square 2×2 removed. Area:
- Q3.Best approach for composite shapes:
- Q4.A square has a circular hole (radius 7) cut out. Remaining area depends on:
- Q5.Composite area = sum of pieces