Worksheet directions

Grade 6 • Independent Practice • Work on your own. Show your calculations or reasoning where needed.

Sample questions

1. A right-triangular sign has perpendicular sides 9 cm and 6 cm. Two identical signs are cut from a sheet. Find their combined area and explain why you can use a rectangle or parallelogram to check.
2. A triangle has base 11 cm and perpendicular height 4 cm. Sketch two congruent copies forming a parallelogram and explain the area formula.
3. A student reports 60 cm² for a triangle with base 12 cm and height 5 cm. Explain the missing step and correct the area.
4. Measurements are in centimeters. Find the triangle’s area and explain why the dashed perpendicular segment is used as the height.
5. Sketch a second congruent copy of this triangle to form a parallelogram. Explain how this gives the triangle’s area.
6. A triangle has base 7 cm and perpendicular height 4 cm. Sketch two congruent copies forming a parallelogram and explain the area formula.

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

Common Core connections

Source labels: 4.MD.A.3, prerequisite for 6.G.A.1, 6.G.A.1. Review the learning goals below to check the fit for your class.

• 4.MD.A.3 — Area and perimeter formulas
• 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.