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An area is paved with square tiles of a certain size and the number required is 128.If the tiles had been 2 cm shorter each way,200 tiles would have been needed to pave the same area .Find the size of the larger tiles.
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@perl
@perl
Let x by x be the area of each tile, before shrinking them
Let x be the side of the tile, and y be the area. Area of one tile is x^2. You need 128 of them to cover the area y. 128 * x^2 = y the dimension each tile is decreased by 2 200 ( x - 2) (x-2) = y
128 * x^2 = y 200 ( x - 2) (x-2) = y 200 * ( x^2 - 4x + 4) = y not substitute 200 x^2 - 800x + 800 = 128 x^2
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can you finish it now?
@Aaron
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