SOLUTION: 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 c

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Question 987037: 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.
How many different arrangements can ms. Francis make to seat all 22 children ?
What is the smallest number of tables that ms. Francis needs to rent?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
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.
How many different arrangements can ms. Francis make to seat all 22 children ?
What is the smallest number of tables that ms. Francis needs to rent?
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Thinking thru the problem
1 table seats 4-----1 arrangement
2 tables seat 6-----1 arrangement
3 tables seat 8-----1 arrangement
4 tables seat 10----
5 tab;es seat 12
...
10 tables seat 22
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Cheers,
Stan H.
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