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MA.7.GR.1.2 · Geometric Reasoning

Area of Polygons and Composite Figures: Sample FAST Questions

Students find the area of polygons and composite figures by decomposing them into triangles or quadrilaterals. They split an irregular shape into pieces they already know how to measure, find each area, and add. Coordinate-plane placement and missing-dimension work sit outside this benchmark.

How the FAST tests this benchmark

On the FAST, students see a labeled composite figure with an equation editor answer for the total area. The errors that show up are counting a shared interior edge as if it bounded area, and double counting a piece where two shapes overlap.

Skills students need

  • Decompose a composite figure into triangles and quadrilaterals
  • Find the area of each piece and combine the results
  • Find the area of an irregular polygon from labeled side lengths

Try 6 real MA.7.GR.1.2 questions

These come straight from Algebro's 7th grade question bank, easiest first. Answer one, check it, then move to the next.

Question 1 of 6

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Question 1EasyMultiple Choice

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A window has the shape shown: a rectangle with a semicircle on top. Using π≈3.14\pi \approx 3.14, what is the total area of the window, in square feet?

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More 7th grade geometric reasoning benchmarks

MA.7.GR.1.3

Circumference of a Circle

MA.7.GR.1.4

Area of a Circle

MA.7.GR.1.5

Scale Drawings and Scale Factors

MA.7.GR.1.2: Area of Composite Figures Practice | Algebro