SOLUTION: You work for a tile manufacturing company. The company has overstocked a certain set of tiles. There are three different tiles in this particular set. One is a large square tile,

Question 1196668: You work for a tile manufacturing company. The company has overstocked a certain set of tiles. There are three different tiles in this particular
set. One is a large square tile, the second is a small square tile and the third
is a rectangle. The length of the rectangle is the same length as one side of
the large square. The width of the rectangle is the same size as one side of
the small square. This happens to work out to be good news. A set of these tiles can be arranged into rectangular configurations to create nice tile patterns.
Find all the rectangular configurations that can be made using 6 large
squares and 4 small squares along with only 2 rectangles.
How many rectangles are needed to make a rectangular configuration? Answer: 2
Explain how you know.??
Illustrate all the different configurations that can be created.???
Explain how you know that you have found all possible rectangular
configurations.???
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.


One possible solution is this


    +-------+-------+-------+-------+
    |       |       |       |       |
    |       |       |       |       |
    |       |       |       |       |
    +-------+-------+---+---+---+---+
    |       |       |   |   |   |   |
    |       |       |---+---|   |   |
    |       |       |   |   |   |   |
    +-------+-------+---+---+---+---+


6 large squares 2x2;  4 small squares 1x1,  and  2 rectangles 2x1.


You can move and change these figures by OBVIOUS ways to obtain 
several/many other possible configurations.


Perhaps, children in pre-school may assemble other similar configurations, too,
if you show them this one as one basic solution, and will be happy, doing this intriguing job . . . 

from breakfast . . . to the evening meal . . . 



You will only have to walk with a photo-camera (or a phone) and make photos of their pictures.

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