SOLUTION: eden made a rectangular mosaic using 256 one centimeter square tiles. she used exactly 80 cm wood to make the frame. what are the dimensions of her design?
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Question 1052294: eden made a rectangular mosaic using 256 one centimeter square tiles. she used exactly 80 cm wood to make the frame. what are the dimensions of her design? Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website! we have two equations in 2 unknowns
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let l be length and w be width, then
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1) 2l + 2w = 80
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2) l * w = 256
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solve equation 1 for l
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l = 40 - w
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substitute for l in equation 2
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(40 - w) * w = 256
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-w^2 +40w -256 = 0
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(-w +32) * (w -8) = 0
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w = 32 or w = 8
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by convention length > width, so
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length = 32 cm and width = 8 cm
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