SOLUTION: perimeter = 50 area = 144 what is the length and width of this rectangle?

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Question 744799: perimeter = 50
area = 144
what is the length and width of this rectangle?
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
p=2l%2B2w
A=lw
2l%2B2w=50
or
l%2Bw=25
so
l=25-w
next we look at
lw=144
Which becomes:

%2825-w%29w=144
25w-w%5E2=144

after rearranging...
w%5E2-25w%2B144=0
after solving
w=9 or w=16
let's use w=9 (it's smaller so maybe easier to work with)

l=25-w=25-9=16

so l=16, w=9