CPM Homework Help : CC1 Problem 1-61

Aria and $19$ 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 $20$ seats.

Draw a diagram showing Aria’s idea for a seat arrangement. Then draw all of the other possible rectangular arrangements for $20$ seats. Label each arrangement with its number of rows and the number of seats in each row. Are all arrangements practical? Explain.

Hint:

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?

Example:

All arrangements may not be practical. For example, the $2$ rows of $10$ below on the left would be more practical than the $10$ 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.