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anonymous

  • 5 years ago

A picture 17 inches by 20 inches is to be mounted on a piece of matboard so that there is an even amount of mat all around the picture. How wide will the border be if the area of the mounted picture is 598 square inches?

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  1. amistre64
    • 5 years ago
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    17x(20x) = 598 right?

  2. amistre64
    • 5 years ago
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    or rather: (17+2x)(20+2x) = 598

  3. anonymous
    • 5 years ago
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    yes. i need the width of the border

  4. amistre64
    • 5 years ago
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    340 +40x +34x +4x^2 340 +74x +4x^2 x = -74/16 + sqrt(74^2 -4(4)(340))/16 then

  5. amistre64
    • 5 years ago
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    16 meant 8 lol

  6. amistre64
    • 5 years ago
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    lets me test 8.5

  7. anonymous
    • 5 years ago
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    test 8.5?

  8. amistre64
    • 5 years ago
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    dint work out as expected :)

  9. amistre64
    • 5 years ago
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    musta missed cued in the calculator; let me try that again

  10. amistre64
    • 5 years ago
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    i forgot to -580

  11. anonymous
    • 5 years ago
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    oh. the book gives me a hint that its a solution between 3 and 7 inches

  12. amistre64
    • 5 years ago
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    -598.. i got no short termmemory lately..

  13. amistre64
    • 5 years ago
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    ok, when i do it correctly, I get x=3 so lets try to dbl chk that

  14. anonymous
    • 5 years ago
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    3 could be right. thats what i got

  15. amistre64
    • 5 years ago
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    17+2(3) = 23 20 + 2(3) = 26 23(26) = 598, its good

  16. anonymous
    • 5 years ago
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    ok. thanks for confirming

  17. anonymous
    • 5 years ago
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    medal

  18. amistre64
    • 5 years ago
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    yw :)

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