Select all parallelograms that show a base and its corresponding height (as a dashed segment).
A
B
C
D
E
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Solution
A, C, D
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Sample Response
A, C, D
Problem 2
Find the area of the parallelogram. Explain or show your reasoning.
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Solution
32 sq cm. Sample reasoning:
If the side that is 4 cm is the base, then its corresponding height is 8 cm. 4⋅8=32
If the side that is 10 cm is the base, then its corresponding height is 3.2 cm. 10⋅(3.2)=32
The parallelogram can be decomposed along the dashed line that is 3.2 cm long. Rearranging the pieces makes a rectangle that is 10 cm by 3.2 cm. 10⋅(3.2)=32
Show Sample Response
Sample Response
32 sq cm. Sample reasoning:
If the side that is 4 cm is the base, then its corresponding height is 8 cm. 4⋅8=32
If the side that is 10 cm is the base, then its corresponding height is 3.2 cm. 10⋅(3.2)=32
The parallelogram can be decomposed along the dashed line that is 3.2 cm long. Rearranging the pieces makes a rectangle that is 10 cm by 3.2 cm. 10⋅(3.2)=32
Problem 3
A parallelogram has an area of 60 square inches and a base that is 5 inches long. How long is the corresponding height?
