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Nick2019

  • 3 years ago

Sarah wants to hang a mirror in her room but the mirror and frame must not have an area larger than 15 square feet. The mirror is 3 feet wide and 4 feet long. Which quadratic equation represents the area of the mirror and frame combined? (The frame must have equal width of x on each side.) 3x2 + 14x − 2 = 0 4x2 + 14x − 3 = 0 x2 + 12x − 14 = 0 2x2 + 7x − 14 = 0

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  1. Nick2019
    • 3 years ago
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  2. rebeccaskell94
    • 3 years ago
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    Well to find the area of a rectangle we do S + S x 2 or s•s + s•s so we have 3 +4 x 2 = x or 3 x 3 + 4 x 4 = x @lgbasallote Right-o?

  3. rebeccaskell94
    • 3 years ago
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    So far at least haha obviously not the full answer yet but I want to make sure I'm on the right track.

  4. Nick2019
    • 3 years ago
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    umm i really dont know but if you get the wrong answer no big deal :)

  5. rebeccaskell94
    • 3 years ago
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    lol no problem xD

  6. SmoothMath
    • 3 years ago
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    Mmm, I don't quite see what you're saying there. I don't think it's right.

  7. Nick2019
    • 3 years ago
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    what did you get?

  8. rebeccaskell94
    • 3 years ago
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    Well we have to find the initial area before doing the next part xD lol idk @nick SmoothMath is a dollface he's really good at helping :D I'll shut up now :x

  9. SmoothMath
    • 3 years ago
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    That's a thought, Becca, but this will work better. First, Nick, simply draw a picture, like this |dw:1341586226088:dw| See how I drew the mirror, 3X4, and then the frame around it has a width of x?

  10. Nick2019
    • 3 years ago
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    yep

  11. SmoothMath
    • 3 years ago
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    To find the area, we need to do L*W, but first, we should write an expression for how long L is and another for how long W is. See if you can do that on your own.

  12. Nick2019
    • 3 years ago
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    ok thanks for the help

  13. SmoothMath
    • 3 years ago
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    Haha don't leave yet. Tell me what you get for how long L is.

  14. lgbasallote
    • 3 years ago
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    i think what @rebeccaskell94 did is a variation of the perimeter...looks like combo of perimeter and area

  15. rebeccaskell94
    • 3 years ago
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    oh pffft my bad. I need to stop helping people in math xD

  16. lgbasallote
    • 3 years ago
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    lol dont get discouraged!!

  17. SmoothMath
    • 3 years ago
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    Becca, the best way to learn something is to teach it. Just try to make sure you understand it before you teach =)

  18. lgbasallote
    • 3 years ago
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    like einstein said...if you cant explain it simply then you dont understand it fully

  19. SmoothMath
    • 3 years ago
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    Great quote =) I try to let it inform my teaching style.

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