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cdelomas

  • 3 years ago

A banner is 4 feet longer than its width the area is 77 square feet. what is the width and length

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  1. kirk.freedman
    • 3 years ago
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    |dw:1354222764363:dw| so w(w+4)=77

  2. cdelomas
    • 3 years ago
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    soould be the width and length

  3. kirk.freedman
    • 3 years ago
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    yes, so do you know how to solve this equation above? that will give you your width

  4. cdelomas
    • 3 years ago
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    no

  5. cdelomas
    • 3 years ago
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    would it be 16

  6. cdelomas
    • 3 years ago
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    sorry 8

  7. kirk.freedman
    • 3 years ago
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    have you learned how to factor?

  8. cdelomas
    • 3 years ago
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    no

  9. kirk.freedman
    • 3 years ago
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    so you have the equation w(w+4)=77 so the first step would be to do distributive property, so now you have w^2+4w=77

  10. kirk.freedman
    • 3 years ago
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    subtract 77 from both sides and your equation is now w^2+4w-77=0

  11. kirk.freedman
    • 3 years ago
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    Now you must factor it. When I factor it I get (w+11)(w-7)=0

  12. kirk.freedman
    • 3 years ago
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    Now you test both solutions. w+11=0 and w-7=0. When I solve both of those I get w= 7,-11. Since you cannot have a negative width, the answer for the width is 7.

  13. kirk.freedman
    • 3 years ago
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    Now just from the original picture you do w+4, since you know w now, it is 7+4. So you have the width is 7 and the length is 11.

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