Lesson 4

Parallelograms

Problem 1

Select all of the parallelograms. For each figure that is not selected, explain how you know it is not a parallelogram.

Problem 2

1. Decompose and rearrange this parallelogram to make a rectangle.

2. What is the area of the parallelogram? Explain your reasoning.

Problem 3

Find the area of the parallelogram.

Problem 4

Explain why this quadrilateral is not a parallelogram.

Problem 5

Find the area of each shape. Show your reasoning.

Solution

(From Unit 1, Lesson 3.)

Problem 6

Find the area of the rectangle with each set of side lengths.

1. 5 in and $$\frac13$$ in

2. 5 in and $$\frac 43$$ in

3. $$\frac 52$$ in and $$\frac 43$$ in

4. $$\frac 7 6$$ in and $$\frac 67$$ in