Question 846098: A rectangular auditorium seats 1092 people. The number of seats in each row exceeds the number of rows by 11 Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! A rectangular auditorium seats 1092 people. The number of seats in each row exceeds the number of rows by 11
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Let # of rows be "r":
Let # of seats in a row be "s".
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Equation:
s = r + 11
sr = 1092
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Substitute for "s" and solve for "r"::
r(r+11) = 1092
r^2 + 11r - 1092 = 0
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Factor::
(r-28)(r+39) = 0
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r = 28 (# of rows)
s = r+11 = 39 (# of seats in each row)
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Cheers,
Stan H.
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