Grade 6 | Unit 1 | Lesson 8: Area of Triangles | Practice Problems

To find the area of this right triangle, Diego and Jada used different strategies. Diego drew a line through the midpoints of the two longer sides, which decomposes the triangle into a trapezoid and a smaller triangle. He then rearranged the two shapes into a parallelogram. Explain how Diego might use his parallelogram to find the area of the triangle.

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To find the area of this right triangle, Diego and Jada used different strategies. Jada made a copy of the triangle, rotated it, and lined it up against one side of the original triangle so that the two triangles make a parallelogram. Explain how Jada might use her parallelogram to find the area of the triangle.

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Find the area of the triangle. Explain or show your reasoning.

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Find the area of the triangle. Explain or show your reasoning.

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• Decompose the triangle with a cut line half-way between the base and the opposite vertex. Rearrange the smaller triangle to form a parallelogram. This parallelogram has a horizontal base of length 4 units and a height of 1.5 units, so its area is 6 square units. That means the area of the original triangle is 6 square units.

Which of the three triangles has the greatest area? Show your reasoning. If you get stuck, try using what you know about the area of parallelograms.

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Draw an identical copy of each triangle such that the two copies together form a parallelogram.

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A parallelogram has a base of 3.5 units and a corresponding height of 2 units. What is its area?

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Unit 1, Lesson 6

A parallelogram has a base of 3 units and an area of 1.8 square units. What is the corresponding height for that base?

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Unit 1, Lesson 6

A parallelogram has an area of 20.4 square units. If the height that corresponds to a base is 4 units, what is the base?

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Unit 1, Lesson 6