Ms. Francis is planning a birthday party for her daughter. There will be 22 children at the party, and in order to seat them all she needs to rent square card tables. Only 1 child can sit at each side of a card table.

Ms. Francis wants to arrange the tables in a rectangular shape so they look like one large table. The room is large enough that

the rectangle can be made with more than one row of tables.

Part A: How many different arrangements can Ms. Francis make to seat all 22 children?

Part B: What is the smallest number of tables that Ms. Francis needs to rent?

DIRECTIONS: To solve the problem, apply the steps of the Mathematical Problem-Solving Routine.

Understand

1. Try to visualize the situation. Consider drawing a diagram

2. State the problem in your own words.

3. What is the important information in the problem?

Plan

4. What strategy will you use to solve the problem? Why?

Predict an answer.​