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Finding Areas in a Composite Figure Worksheet Download

The reference is a test item that asks three things about one figure with dropdowns; here each problem draws its own figure and asks a SINGLE question, with the measurements changing from problem to problem. The three question types - each shaded triangle, each unshaded triangle, the total - are dealt out evenly, and each needs a DIFFERENT pair of measurements off the same drawing. That is the whole point of a composite-area question: knowing which two numbers belong to the piece being asked about. The wrong answers pair the numbers up incorrectly - the half left off, the other triangle's measurements, the rectangle counted alone, or only one triangle of each pair counted.

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Finding Areas in a Composite Figure
A rectangle with a triangle on each side is shown, and each problem asks one question about its area.
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Finding Areas in a Composite Figure worksheet
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About this worksheet

A rectangle with a triangle on each side is shown, and each problem asks one question about its area.

Student objectives

  • Break a figure into rectangles and triangles
  • Pick the measurements that belong to one piece of a figure
  • Find the area of a triangle inside a larger figure
  • Add the parts to find a total area

Everyday practice

  • Figure out the area of an L-shaped room to buy the right amount of flooring
  • Calculate how much paint you need for an oddly shaped wall
  • Find the area of a backyard made of two connected rectangles
  • Measure a garden plot with an irregular shape to plan planting space

Standards

6g1
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