SOLUTION: An area is paved with square tiles of a certain size and the number required is 128 if the tiles had been 2 cm smaller each way 200 tiles would have been needed to pave the same ar

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Question 1084290: An area is paved with square tiles of a certain size and the number required is 128 if the tiles had been 2 cm smaller each way 200 tiles would have been needed to pave the same area find the size of the larger tiles
Answer by josgarithmetic(39626) About Me  (Show Source):
You can put this solution on YOUR website!
A, the given area with tiles
x, edge length of the original tile size

128x%5E2=A

New tile size, x-2, area A uses 200 of these tiles.
200%28x-2%29%5E2=A


The two area both are A.
128x%5E2=200%28x-2%29%5E2
Simplify and solve for x.