lizzymonster
  • lizzymonster
The area of a rectangle is 65 ft2, and the length of the rectangle is 3 ft less than twice the width. Find the dimensions of the rectangle.
Mathematics
chestercat
  • chestercat
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lizzymonster
  • lizzymonster
What I have so far: 65ft^2=w(2w-3) 65ft^2=2w^2-3w 2w^2-3w-65 and then you're supposed to factor into two binomials, but I cant seem to find any factors that multiply to equal 65 and add make -3
Vocaloid
  • Vocaloid
2w^2-3w-65 factors to (w+5)(2w-13)
lizzymonster
  • lizzymonster
but -13+5 doesnt equal -3, so how do you know?

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Vocaloid
  • Vocaloid
the rule works a bit differently because we have (2w^2) instead of just w^2 we can prove my factoring is correct using FOIL (w+5)(2w-13) = (2w)(w) - 13(w) + 10w - 65 = 2w^2 - 3w - 65
Vocaloid
  • Vocaloid
this video may be helpful https://www.youtube.com/watch?v=07g-l8OuGPo
lizzymonster
  • lizzymonster
ok thank you!

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