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anonymous

  • one year ago

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

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  1. anonymous
    • one year ago
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    Would I use the formula w= a/l?

  2. jim_thompson5910
    • one year ago
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    |dw:1433033340450:dw|

  3. jim_thompson5910
    • one year ago
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    |dw:1433033359239:dw|

  4. jim_thompson5910
    • one year ago
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    |dw:1433033378846:dw|

  5. jim_thompson5910
    • one year ago
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    |dw:1433033442595:dw|

  6. anonymous
    • one year ago
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    Oh ok

  7. anonymous
    • one year ago
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    And what would I do now?

  8. anonymous
    • one year ago
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    Do I add the 42 and the 2x?

  9. jim_thompson5910
    • one year ago
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    Area = Length * Width 1248 = (42+2x)*(20+2x) solve for x

  10. anonymous
    • one year ago
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    Um okay.. let me try 1248 = 840 + 4x

  11. anonymous
    • one year ago
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    ?

  12. anonymous
    • one year ago
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    And then x would be 102?

  13. jim_thompson5910
    • one year ago
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    1248 = (42+2x)*(20+2x) 1248 = 840+124x+4x^2 ... FOIL 1248-1248 = 840+124x+4x^2 - 1248 4x^2 + 124x - 408 = 0

  14. jim_thompson5910
    • one year ago
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    use the quadratic formula to solve from here

  15. anonymous
    • one year ago
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    oh... I did that so wrong... lol

  16. anonymous
    • one year ago
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    I have never used the quadratic formula before...

  17. jim_thompson5910
    • one year ago
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    have you seen or heard of it before?

  18. anonymous
    • one year ago
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    No. not really..

  19. jim_thompson5910
    • one year ago
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    ok we can use a calculator instead if you want?

  20. anonymous
    • one year ago
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    kk

  21. jim_thompson5910
    • one year ago
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    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

  22. jim_thompson5910
    • one year ago
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    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

  23. anonymous
    • one year ago
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    Oh OK! Thank you, for coping with me

  24. jim_thompson5910
    • one year ago
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    you were fine, don't worry

  25. jim_thompson5910
    • one year ago
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    Recommended Reading: http://www.purplemath.com/modules/quadform.htm

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