You have a wooden board that measures 54 centimeters by 90 centimeters.  You want to cut the board into identical square pieces with integer side lengths and use all of the wood.  What is the largest side length you can choose?
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To find out how many squares we find the ratio of the sides of the wood: 90:54=5:3.

So we can divide the long side into 5 to gives us 90/5=18cm as the side of the square, which is the same as dividing the short side by 3: 54/3=18cm. Therefore we have 15 squares of side 18cm.

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