Question

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

Answer 1

Ms Francis would need to rent 6 tables in order to get everyone their own side.

She could have all the children, sitting at their tables, having their own side, but the 6th table just having the two other kids.
Ms Francis shouldn’t be having such a large party in the midst of a pandemic.