Worksheet directions

Grade 6 • Homework • Use the strategies practiced in class. Show your work and check your answers.

Sample questions

1. A rectangle and a parallelogram each have base 10 cm and height 5 cm. Must they have equal areas? Explain using a rearrangement.
2. The parallelogram’s measurements are in centimeters. Find its area. Explain why moving a triangular piece from one end creates a rectangle of equal area.
3. A parallelogram has base 6 cm, perpendicular height 4 cm and a sloping side longer than 4 cm. Explain which lengths determine its area, then compute.
4. A rectangle and a parallelogram each have base 7 cm and height 5 cm. Must they have equal areas? Explain using a rearrangement.
5. A parallelogram has base 9 cm, perpendicular height 4 cm and a sloping side longer than 4 cm. Explain which lengths determine its area, then compute.

See the preview for diagrams, answer spaces, and the complete layout.

Common Core connections

Source labels: 6.G.A.1. Review the learning goals below to check the fit for your class.

• 6.G.A.1 — Area of triangles and polygons

Bring it into your lesson

Review the preview and question content above. Open the resource in Sparkclass to copy it to your Files and use it in your workspace. Check the resulting layout before sharing it with students.