SOLUTION: Paula invited 15 friends to her Sweet 16 birthday party. She decided to use 16 small square tables to form a large square so that she and her friends would all have a place to sit.

Question 171416: Paula invited 15 friends to her Sweet 16 birthday party. She decided to use 16 small square tables to form a large square so that she and her friends would all have a place to sit.
At the last minute, four cousins arrived from out of town. How could Paula arrange the 16 tables into a new rectangular shape (with no holes in the middle) so that all 20 people will have a place and there will be no empty seats?
EXTENSION: What is the greatest number of people that can be seated at 16 tables arranged in a rectangular shape?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Paula invited 15 friends to her Sweet 16 birthday party. She decided to use 16 small square tables to form a large square so that she and her friends would all have a place to sit.
At the last minute, four cousins arrived from out of town. How could Paula arrange the 16 tables into a new rectangular shape (with no holes in the middle) so that all 20 people will have a place and there will be no empty seats?
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Draw the pictures of the rectangular arrangements.
A 4 by 4 seats 4+4+4+4 = 16
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A 2 by 8 seats 2+2+8+8 = 20
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A 1 by 16 seats 1+1+16+16=34
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EXTENSION: What is the greatest number of people that can be seated at 16 tables arranged in a rectangular shape? 34
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Cheers,
Stan H.

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