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anonymous

  • 5 years ago

The length of a rectangle is 2 meters more than its width.If the area is 63 meters,what are the length and width?

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  1. amistre64
    • 5 years ago
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    Area = LW; L=W+2 63 = (W+2)(W) 63 = W^2 + 2W W^2 +W - 63 = 0 so far so good?

  2. anonymous
    • 5 years ago
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    yes

  3. amistre64
    • 5 years ago
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    the fastest way to solve a quadratic is with the quadratic formula, do you know the quadratic formula?

  4. anonymous
    • 5 years ago
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    not really

  5. amistre64
    • 5 years ago
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    Do you know how to "complete the square"? which is the long proof for the quad formula?

  6. anonymous
    • 5 years ago
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    no

  7. amistre64
    • 5 years ago
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    which one would you like to learn?

  8. anonymous
    • 5 years ago
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    the fastest way

  9. amistre64
    • 5 years ago
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    lol.... good answer

  10. amistre64
    • 5 years ago
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    the quad formula is: -(middle) +- sqrt(middle^2 - (4)(first)(last)) -------------------------------------- 2(first) Lets plug it in :)

  11. amistre64
    • 5 years ago
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    (1)W^2 +(1)W - 63 -1 +- sqrt(1^2 -4(1)(-63)) ------------------------ 2(1)

  12. amistre64
    • 5 years ago
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    -1 +- sqrt(1+252) ---------------- 2

  13. amistre64
    • 5 years ago
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    -1 +- sqrt(253) --- -------- 2 2 now we use a calculator :)

  14. amistre64
    • 5 years ago
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    W = about 7.45

  15. amistre64
    • 5 years ago
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    we actually get 2 answers, but we can throw out the negative because area is not a negative measurement

  16. amistre64
    • 5 years ago
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    L = W+2 so about 9.45 if I did it right :)

  17. amistre64
    • 5 years ago
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    becuase I chopped off alot of decimals, we get a skewed result. but its close

  18. anonymous
    • 5 years ago
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    so we divided the number above and this is the results

  19. amistre64
    • 5 years ago
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    as close as I can get :) barring I havent made any mistakes

  20. anonymous
    • 5 years ago
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    so what is the square root of 253

  21. anonymous
    • 5 years ago
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    i got 7.95

  22. amistre64
    • 5 years ago
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    sqrt(253)=15.905973720586866353745477830541

  23. anonymous
    • 5 years ago
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    yes and divided by 2 is 7.95529865

  24. amistre64
    • 5 years ago
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    -.5

  25. anonymous
    • 5 years ago
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    7.95 + 2 meters is 9.95 correct

  26. amistre64
    • 5 years ago
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    still need to take away .5 from 7.955.......

  27. anonymous
    • 5 years ago
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    where did -5 come from

  28. amistre64
    • 5 years ago
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    -1 +- sqrt(253) --- -------- 2 2 the first part here is -1/2

  29. anonymous
    • 5 years ago
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    ohhhhhh.....ok.......i see

  30. anonymous
    • 5 years ago
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    so what does the final answer look like

  31. amistre64
    • 5 years ago
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    itll probably include a radical sign for an eexat nswer; but the best I can do with an estimate is: W=about 7.45 and L=about 9.45

  32. anonymous
    • 5 years ago
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    ok

  33. anonymous
    • 5 years ago
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    can you help me with another one

  34. amistre64
    • 5 years ago
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    i dunno, my computer is slowing down something feirce. try it in another question post; and ill see what i can do

  35. anonymous
    • 5 years ago
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    ok

  36. amistre64
    • 5 years ago
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    I know...iknow..... i see where I messed up. A=63; L=9 and W=7 i lost a "2" in the equation somewhere lol... w^2 +[2]w -63 = 0 <---THAT ONE!! -2/2 + sqrt(4 - (4)(1)(-63))/2 -1 + sqrt([252] +4)/2 <-AND I forgot how to multiply -1 + sqrt(256)/2 -1 + 16/2 -1 + 8 W = 7 L= W+2 = 7+2 = 9 Area = 9(7) = 63 Are ya happy now :)

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