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MA.6.GR.2.2 · Geometric Reasoning

Area of Quadrilaterals and Composite Figures: Sample FAST Questions

Students solve mathematical and real-world problems involving the area of quadrilaterals and composite figures by decomposing them into triangles and rectangles. They find areas of parallelograms, trapezoids, and irregular shapes, and they work backward to find a missing side length when the area is given.

How the FAST tests this benchmark

FAST items show labeled diagrams of quadrilaterals and composite shapes with equation editor answers for the area, plus multiple choice items finding missing dimensions from a known area.

Skills students need

  • Find the area of quadrilaterals by decomposing into triangles and rectangles
  • Find the area of composite figures
  • Find missing dimensions given the area

Try 4 real MA.6.GR.2.2 questions

These come straight from Algebro's question bank. Pick an answer to check it instantly.

Question 1EasyMultiple Choice
A rectangle is shown. The area of the rectangle is 5656 square centimeters. What is the width, in centimeters, of the rectangle?
Figure: a rectangle with width ?, length 7 cm.
7 cm?

Figure may not be drawn to scale

Question 2MediumEquation Editor
A triangle is shown. The area of the triangle is 3535 square centimeters. What is the height, in centimeters, of the triangle?
Figure: a triangle with base 14 cm, height ?.
14 cm?

Figure may not be drawn to scale

Enter the number only. Do not include units like $, %, or ft²

Question 3MediumMultiple Choice
A parallelogram is shown. What is the area, in square centimeters, of the parallelogram?
Figure: a parallelogram with base 9 cm, slant 7 cm, height 5 cm.
9 cm5 cm7 cm

Figure may not be drawn to scale

Question 4HardEquation Editor
A figure is shown. What is the total area, in square centimeters, of the figure?
Figure: a composite figure with tri base 4 cm, rect width 6 cm, tri height 7 cm, rect height 10 cm.

Figure may not be to scale

Enter the number only. Do not include units like $, %, or ft²

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More Geometric Reasoning benchmarks

MA.6.GR.1.1

Plotting Points and Reflections on the Coordinate Plane

MA.6.GR.1.2

Distances on the Coordinate Plane

MA.6.GR.1.3

Rectangles on the Coordinate Plane

MA.6.GR.2.2 Practice Questions — Area of Quadrilaterals and Composite Figures | 6th Grade FAST | Algebro