anonymous
  • anonymous
A rectangular garden, 42 feet by 20 feet, is surrounded by a walkway of uniform width. If the total area of the garden and walkway is 1248 square feet, the width of the walkway is _____. [A] 2.5 ft [B] 3 ft [C] 2 ft [D] 3.29 ft
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
Would I use the formula w= a/l?
jim_thompson5910
  • jim_thompson5910
|dw:1433033340450:dw|
jim_thompson5910
  • jim_thompson5910
|dw:1433033359239:dw|

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jim_thompson5910
  • jim_thompson5910
|dw:1433033378846:dw|
jim_thompson5910
  • jim_thompson5910
|dw:1433033442595:dw|
anonymous
  • anonymous
Oh ok
anonymous
  • anonymous
And what would I do now?
anonymous
  • anonymous
Do I add the 42 and the 2x?
jim_thompson5910
  • jim_thompson5910
Area = Length * Width 1248 = (42+2x)*(20+2x) solve for x
anonymous
  • anonymous
Um okay.. let me try 1248 = 840 + 4x
anonymous
  • anonymous
?
anonymous
  • anonymous
And then x would be 102?
jim_thompson5910
  • jim_thompson5910
1248 = (42+2x)*(20+2x) 1248 = 840+124x+4x^2 ... FOIL 1248-1248 = 840+124x+4x^2 - 1248 4x^2 + 124x - 408 = 0
jim_thompson5910
  • jim_thompson5910
use the quadratic formula to solve from here
anonymous
  • anonymous
oh... I did that so wrong... lol
anonymous
  • anonymous
I have never used the quadratic formula before...
jim_thompson5910
  • jim_thompson5910
have you seen or heard of it before?
anonymous
  • anonymous
No. not really..
jim_thompson5910
  • jim_thompson5910
ok we can use a calculator instead if you want?
anonymous
  • anonymous
kk
jim_thompson5910
  • jim_thompson5910
ok wolfram alpha is a good calculator to use type in 4x^2 + 124x - 408 = 0 and hit enter and you'll get this link http://www.wolframalpha.com/input/?i=4x^2+%2B+124x+-+408+%3D+0
jim_thompson5910
  • jim_thompson5910
the calculator will spit out x = -34 or x = 3 as the two solutions. x is some length, so it can't be negative so only x = 3 is the true solution
anonymous
  • anonymous
Oh OK! Thank you, for coping with me
jim_thompson5910
  • jim_thompson5910
you were fine, don't worry
jim_thompson5910
  • jim_thompson5910
Recommended Reading: http://www.purplemath.com/modules/quadform.htm

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