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Equation

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Vinsgmat
 Post subject: Equation
 Post Posted: Tue Jun 10, 2008 7:13 pm 
15. A rectangular circuit board is designed to have width w inches, perimeter p inches, and area k square inches. Which of the following equations must be true?
(A) w^2 + pw + k = 0
(B) w^2 - pw + 2k = 0
(C) 2w^2 + pw + 2k = 0
(D) 2w^2 - pw - 2k = 0
(E) 2w^2 - pw + 2k = 0

Source is from a quantititative aptitude book. Answer is not given[/img][/code]
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aryan
 Post subject: E
 Post Posted: Wed Jun 11, 2008 6:24 pm 
Lets us assume length = l
w*l = k (area) or l=k/w
2w+2l=p (perimeter)
substitute l in second equation...
2w+2k/w=p is same as 2w^2-pw+2k=0 (E) :)
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rfernandez
 Post subject:
 Post Posted: Fri Jun 13, 2008 4:15 am 
Offline
ManhattanGMAT Staff


Posts: 386
Nice solution!
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