1. Amanda wants her two square rooms to be tiled. One room is 8 feet wider than the other. The tiler said that she will be needing 832 pieces of 1-foot by 1-foot tiles. What are the dimensions of the two rooms? (with solution))
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x²+y²=832
y=x+8
x
x²+x²+16x+64=832
2x²+16x=832-64
2x²+16x=768
x²+8x-768=0
(x+32)(x-24)
x=24
just subtitute to get the dimensions