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anonymous

  • one year ago

Tyler has a rectangular garden that measures 10 m wide by 13 m long. He wants to increase the area to 208 m2 by increasing the width and length by the same amount. What will be the width (shorter dimension) of the new garden? A. 13 m wide B. 14 m wide C. 15 m wide D. 16 m wide

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  1. anonymous
    • one year ago
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    you know what when i first got on here today i hade 9 medals now i have 45 lol

  2. anonymous
    • one year ago
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    lol you deserve them all and more

  3. anonymous
    • one year ago
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    how much did you have before the BIG test?

  4. anonymous
    • one year ago
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    sorry but what do you mean? c:

  5. anonymous
    • one year ago
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    medal's

  6. anonymous
    • one year ago
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    i think 60 something c:

  7. anonymous
    • one year ago
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    nice

  8. anonymous
    • one year ago
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    brb real quick

  9. anonymous
    • one year ago
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    k i am back @pinkbubbles

  10. anonymous
    • one year ago
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    one second

  11. anonymous
    • one year ago
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    ok take your time

  12. anonymous
    • one year ago
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    sorry

  13. anonymous
    • one year ago
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    its fine. :)

  14. mathstudent55
    • one year ago
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    The original gardens has these dimensions. |dw:1437601075655:dw|

  15. mathstudent55
    • one year ago
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    |dw:1437601140143:dw|

  16. mathstudent55
    • one year ago
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    The original garden has dimensions 13 m by 10 m. If you increase both the length and the width by x meters, what are the new length and width?

  17. anonymous
    • one year ago
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    oh i know what it is 13m right ;)

  18. mathstudent55
    • one year ago
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    |dw:1437601335029:dw|

  19. mathstudent55
    • one year ago
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    Since the area of the new rectangle is length * width, we multiply x + 13 by x + 10. The new area is 208, so we set the new area equal to 208, and we solve for x. (x + 13)(x + 10) = 208 \(x^2 + 10x + 13x + 130 = 208\) \(x^2 + 23x - 78 = 0\) \((x - 3)(x + 26) = 0\) \(x - 3 = 0\) or \(x + 26 = 0\) \(x = 3 \) or \(x = -26\) Since the increase in length and width cannot be -26 m, it must be 3 m. The original width was 10 m. 10 m + 3 m = 13 m The new width is 13 m. Check: The width became 13 m, and the length became 13 m + 3 m = 16 m \((13 ~m)(16 ~m) = 208 ~m^2\) 13 m is correct.

  20. mathstudent55
    • one year ago
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    Yes, you are correct.

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