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hugy0212

  • one year ago

Stanford University's soccer field has an area of 8800 square yards. Its length is 30 yards longer than its width. 1. Write an expression for each dimension (length and width) of the soccer field. 2.Write an equation and solve for the dimensions of the soccer field.

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  1. Vocaloid
    • one year ago
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    let length = L and width = W, with me so far?

  2. hugy0212
    • one year ago
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    yes

  3. Vocaloid
    • one year ago
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    "length is 30 yards longer than its width. " means that L = 30 + W so length = 30 + W and width = W, that takes care of #1

  4. Vocaloid
    • one year ago
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    for #2, we let length*width = area so W(W+30) = 8800 solve for W

  5. hugy0212
    • one year ago
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    Do I distribute the W ?

  6. Vocaloid
    • one year ago
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    yes

  7. hugy0212
    • one year ago
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    W^2+30W=8800

  8. Vocaloid
    • one year ago
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    good, now subtract 8800 from each side

  9. hugy0212
    • one year ago
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    Is it -8800W^2-8770W?

  10. Vocaloid
    • one year ago
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    nope

  11. Vocaloid
    • one year ago
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    remember that you cannot combine numbers and variables

  12. Vocaloid
    • one year ago
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    W^2+30W-8800=0

  13. hugy0212
    • one year ago
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    So it'll be W^2+30W-8800

  14. Vocaloid
    • one year ago
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    yes, now factor

  15. Vocaloid
    • one year ago
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    W^2+30W-8800 = ?

  16. hugy0212
    • one year ago
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    can and 10 and 880 work?

  17. Vocaloid
    • one year ago
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    nope, think carefully our two factors must add to 30 and multiply to get 8800

  18. Vocaloid
    • one year ago
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    W^2+30W-8800 = (W+110)(W-80), know where to go from here?

  19. hugy0212
    • one year ago
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    Do i solve for W?

  20. Vocaloid
    • one year ago
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    yes

  21. hugy0212
    • one year ago
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    W=-110 and W=80

  22. Vocaloid
    • one year ago
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    good, now remember that W is width, and width must be positive so W = 80

  23. Vocaloid
    • one year ago
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    now find L

  24. hugy0212
    • one year ago
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    L=110

  25. Vocaloid
    • one year ago
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    good! that should b everything

  26. hugy0212
    • one year ago
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    Thank you so much!!

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