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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 · 6 answers · asked by Anonymous in Education & Reference Homework Help

6 answers

None of them
Because original one
4(x + y) + 12(x + y) + 2(3x + 5y) + 2(5x + 7y)=
4x+4y+12x+12y+6x+10y+10x+14y=
32x+40y

and rest of them are:
A. 4x + y + 12x + y + 6x + 5y + 10x + 7y = 32x+14y
B. 4(xy) + 12(xy) + 2(8xy) + 2(12xy) = 56xy
C. 4x + y + 12x + 12y + 6x + 10y + 10x + 14y = 32x+37y
D. 4x + 6y + 12x + 12y + 6x + 10y + 10x + 14y = 32x+42y

2006-09-30 04:03:24 · answer #1 · answered by no one 6 · 0 0

D would be correct if it began 4x + 4y....the 6y doesn't make sense but the rest of the equation does

2006-09-30 10:41:58 · answer #2 · answered by hearts'n'flowers 2 · 0 0

none of the work, the first part has to be 4x + 4y, everything else in c is right, though

2006-09-30 10:36:53 · answer #3 · answered by jon 4 · 0 0

None of the above....OR (D), IF it really read 4x +4y to begin with.

2006-09-30 11:14:23 · answer #4 · answered by gg 7 · 0 0

b

2006-09-30 10:44:09 · answer #5 · answered by Anonymous · 0 0

A really BIG #

2006-09-30 10:37:01 · answer #6 · answered by Andrew S 2 · 0 0

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