SOLUTION: A rectangular hall has"m" rows and (36-m) columns of seats. If the number of seats of the hall exceeds 320. A. Find all the possible values of "m" B. Find the max. # of seats in

Algebra ->  Rectangles -> SOLUTION: A rectangular hall has"m" rows and (36-m) columns of seats. If the number of seats of the hall exceeds 320. A. Find all the possible values of "m" B. Find the max. # of seats in      Log On


   



Question 891971: A rectangular hall has"m" rows and (36-m) columns of seats. If the number of seats of the hall exceeds 320.
A. Find all the possible values of "m"
B. Find the max. # of seats in the hall

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A rectangular hall has"m" rows and (36-m) columns of seats. If the number of seats of the hall exceeds 320.
Find the value for m to equal 320
m(36-m) = 320
-m^2 + 36m - 320 = 0
multiply by -1
m^2 - 36m + 320 = 0
Factors to (m-16)(m-20)
m = 16
and
m = 20
:
Graphically, green is 320
+graph%28+300%2C+200%2C+-6%2C+40%2C+-50%2C+400%2C+x%2A%2836-x%29%2C+320%29+
:
A. Find all the possible values of "m"
m = 17, 18, 19, to exceed 320 seats
:
B. Find the max. # of seats in the hall
max occurs when m = 18
18(36-18) = 324 seats