Rafiq, a Tunisian cafe owner living in the 3rd century B.C., owns a growing restaurant on Cape Bon in the Mediterranean Sea. After consulting with bricklayers from nearby Carthage, Rafiq has decided to expand his establishment's patio. He will lay bricks in the patio following the pattern shown in the illustration. Rafiq reasoned that each brick would have a length, (x) and a width, (y). In deriving an expression for the total perimeter of the patio, he came up with the following:
4(x + y) + 12(x + y) + 2(3x + 5y) + 2(5x + 7y)
Which of the following is an equivalent expression to the total perimeter of the patio?
A.4x + y + 12x + y + 6x + 5y + 10x + 7y
B.4(xy) + 12(xy) + 2(8xy) + 2(12xy)
C.4x + y + 12x + 12y + 6x + 10y + 10x + 14y
D.4x + 6y + 12x + 12y + 6x + 10y + 10x + 14y
2006-09-30
03:34:33
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6 answers
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asked by
Anonymous
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Education & Reference
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