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Aria and of her friends plan to go to a baseball game. They all want to sit together. Aria wants to order the seats in the shape of a rectangle, but she cannot decide on the best arrangement. She starts by considering one row of seats.

Draw a diagram showing Aria’s idea for a seat arrangement. Then draw all of the other possible rectangular arrangements for seats. Label each arrangement with its number of rows and the number of seats 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 rows of  below on the left would be more practical than the rows of two below on the right.
2 rows of 10, seats placed horizontally, on the left, and 10 rows of 2 seats, placed vertically, on the right.