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Home > MC1 > Chapter 1 > Lesson 1.2.2 > Problem 1-70

1-70.

Aria and 19 of her very closest friends plan to go to a baseball game and they all want to sit together. Aria decided to order a block of seats in the shape of a rectangle, but she could not settle on the best arrangement. She started by considering one row of 20 seats.

Beginning with Aria's first idea, draw all of the possible rectangular arrangements for a block of 20 seats. Label each arrangement with its number of rows and how many seats are in each row. Are all arrangements practical?  Explain.

Have you ever been to a baseball game or a similar sporting event? How do you prefer to sit, especially if you are in a large group?

All arrangements may not be practical. For example, the 2 rows of 10 below would be more practical than the 10 rows of two to the right.