SOLUTION: Zaria and Maisie joined the National Math Club, and during the first club meeting they played Fence Me In. In the game, Zaria and Maisie were given two six-sided dice and a game b

Question 1051514: Zaria and Maisie joined the National Math Club, and during the first club meeting they played Fence
Me In. In the game, Zaria and Maisie were given two six-sided dice and a game board that was a
20�unit by 20-unit grid. During each turn, one player rolled the dice and calculated the product of
the two numbers that were rolled. This product could be considered either the area of a rectangle, in
units squared, or the perimeter of a rectangle, in units. The player then had to draw a rectangle with
either that area or that perimeter and with integer dimensions (necessarily the same as the two
numbers rolled) on the game board. Zaria and Maisie took turns rolling the dice and then drawing a
rectangle. If either was unable to draw a rectangle in the remaining area, the player would lose a
turn. Play continued until the entire board was completely filled with non-overlapping rectangles.
How many possible products can Zaria and Maisie roll?
What is the area of the largest possible rectangle that
can be drawn during a turn in this game?
If Zaria rolled a 3 and a 6 on her first turn, how many
different sized rectangles could she draw?
What is the minimum number of rectangles it could
possibly take for Zaria and Maisie to completely fill the
game board?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
How many possible products can Zaria and Maisie roll?
-----
20*20 = 400 1by1 squares
-------------------
What is the area of the largest possible rectangle that
can be drawn during a turn in this game?
6 by 6 = 36 sq units
----------------------------
If Zaria rolled a 3 and a 6 on her first turn, how many
different sized rectangles could she draw?
6 by 3 or 3 by 6
-------------------------
What is the minimum number of rectangles it could
possibly take for Zaria and Maisie to completely fill the
game board?
6 by 6:: 9 of them
2 by 6:: 6 of them
2 by 2:: 1 of them
----------------
Cheers,
Stan H.
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