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shortie1515 Group Title

Translate this problem to an equation and solve. The width of a rectangle is 6 inches less than twice its length. Find the dimension of the rectangle if its area is 108 square inches. @johnweldon1993

  • one year ago
  • one year ago

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  1. sampatho2 Group Title
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    let length be l width= 2 * l - 6 let width be w l * w = 108 I think you can solve this now

    • one year ago
  2. johnweldon1993 Group Title
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    Just as @sampatho2 has shown W = 2L - 6 A = L x W We know area 108 = L x W We know W = 2L - 6 so substitute that in for 'W' 108 = L x (2L - 6) can you take it from here...?

    • one year ago
  3. shortie1515 Group Title
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    na

    • one year ago
  4. sampatho2 Group Title
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    where are you facing the problem. You just need to solve the equation for l

    • one year ago
  5. shortie1515 Group Title
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    but i still dont get it

    • one year ago
  6. shortie1515 Group Title
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    @johnweldon1993

    • one year ago
  7. Noura11 Group Title
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    Let x be the length and y the width. Then : \[2x-6=y\\xy=108\] So from the 2nd equation we have : \[x=\frac{108}{y}\] And from the 1st equation : \[2\frac{108}{y}-6=y\] We multiply by y to get : \[216-6y=y^2\] And then : \[y^2+6y-216=0\] so : \[\Delta=36-4\times(-216)=900\] So : \[y=\frac{-6+\sqrt{900}}{2}=\frac{-6+30}{2}=12 \text{ inches}\] And then : \[x=\frac{108}y=\frac{108}{12}=9 \text{ inches}\]

    • one year ago
  8. shortie1515 Group Title
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    i dont get it still @johnweldon1993 @Noura11

    • one year ago
  9. Noura11 Group Title
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    Tell me what didn't understand in my solution and I will try to explain it to you ?

    • one year ago
  10. shortie1515 Group Title
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    the whole thing tht u did its suppost to be like this type the answer in this from:6*7

    • one year ago
  11. Noura11 Group Title
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    Can you explain more , please ?

    • one year ago
  12. shortie1515 Group Title
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    i got it

    • one year ago
  13. Noura11 Group Title
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    Glad to hear that !

    • one year ago
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