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GeometryQuestion and Answers: Page 10

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Given is a square with side length 15. We need to find exactly 17 smaller squares to fill the big one. How many solutions are possible? (Note: it′s not enough to find squares with the sum of their areas being 225, they must fit into the 15×15 square. Example with 3 squares: 2×2+5×5+14×14=225 but you cannot fit these in a 15×15 square)

Givenisasquarewithsidelength15.Weneedtofindexactly17smallersquarestofillthebigone.Howmanysolutionsarepossible?(Note:itsnotenoughtofindsquareswiththesumoftheirareasbeing225,theymustfitintothe15×15square.Examplewith3squares:2×2+5×5+14×14=225butyoucannotfittheseina15×15square)

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