SOLUTION: a homeowner is building a square patio and will cover the patio with square tiles. each tile has an area of 256 square inches and cost 3.45. the homeowner has $500 to spend tiles.

Question 824099: a homeowner is building a square patio and will cover the patio with square tiles. each tile has an area of 256 square inches and cost 3.45. the homeowner has $500 to spend tiles.
a. calculate: how many tiles can the homeowner buy? b. Explain: find the side length (in feet) of largest patio that homeowner can build. Explain how you got your answer.
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
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500/3.45 = 144.927536231884062
he can purchase a maximum of 144 tiles
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since the patio is square (the length and width of the patio are the same), the number of tiles per side can be calculated like this:
n = sqrt( 144 )
n = 12
tiles per side = 12
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because each tile is square, the dimensions of each tile are:
s = L = w
a = Lw = ss
ss = 256 sq.in
s = sqrt( 256 ) = 16
L = 16 inch
w = 16 inch
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the dimensions of the largest patio are:
(12 tiles) * (16 inch/tile) * (1/12 feet/inch) = 16 feet
L = 16 feet
w = 16 feet
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