Section B Section B Checkpoint

Problem 1

Select all parallelograms that show a base and its corresponding height (as a dashed segment).
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Solution
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=324 \boldcdot 8 = 32
  • If the side that is 10 cm is the base, then its corresponding height is 3.2 cm. 10⋅(3.2)=3210 \boldcdot (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)=3210 \boldcdot (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?
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Solution
12 inches