SOLUTION: Miles of Tiles Level D: You work for a tile manufacturing company. The company has over-stocked a certain set of tiles. There are three different tiles in this particular set. One

Question 1196582: Miles of Tiles Level D: You work for a tile manufacturing company. The company has over-stocked 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 as many rectangles as you want. Illustrate all the different configurations that can be created. Explain how you know that you have found all possible rectangular configurations.
Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

The description of the problem is either faulty or incomplete.

Given any rectangular configuration made using 6 of the large square tiles and 4 of the small square tiles and some number of rectangular tiles, you can make any number of larger rectangular configurations simply by adding more of the rectangular tiles.

Answer by ikleyn(52800) (Show Source): You can put this solution on YOUR website!
.

See the (partial) solution to this problem in my post under this link

https://www.algebra.com/algebra/homework/Rectangles/Rectangles.faq.question.1196668.html

https://www.algebra.com/algebra/homework/Rectangles/Rectangles.faq.question.1196668.html

This partial solution, although is incomplete, nevertheless, opens a door and a way to further creating activities and thoughts . . .

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