Lesson 4
Parallelograms
Let’s investigate the features and area of 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

Decompose and rearrange this parallelogram to make a rectangle.

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.
Problem 6
Find the area of the rectangle with each set of side lengths.

5 in and \(\frac13\) in

5 in and \(\frac 43\) in

\(\frac 52\) in and \(\frac 43\) in

\(\frac 7 6\) in and \(\frac 67\) in