Norman Window

Discussion in 'Other Pre-University Math' started by nycmathguy, Nov 14, 2021.

  1. nycmathguy

    nycmathguy

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    David Cohen

    I need help with this one.

    20211113_195943.jpg
     
    nycmathguy, Nov 14, 2021
    #1
  2. nycmathguy

    MathLover1

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    in terms of x and r, area is:

    A=area of semi circle + area of rectangle

    [​IMG]
    since one side of the rectangle is 2r and the other side is x, the area is

    [​IMG]

    given:
    x=P/(pi+4)
    r=P/(pi+4)

    [​IMG]

    [​IMG].....common denominator

    [​IMG]

    [​IMG]

    [​IMG]........simplify

    [​IMG]factor out 1/2

    [​IMG]
     
    Last edited: Nov 16, 2021
    MathLover1, Nov 16, 2021
    #2
    nycmathguy likes this.
  3. nycmathguy

    nycmathguy

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    Nicely-done. Nice to see the way you worked out the problem. I understand that x and r both equal P/(pi + 4) but there is nothing, as far as I can see, that indicates a substitute for x and r is needed somewhere in the process. David Cohen questions force students to go beyond the regular classroom problems.
     
    nycmathguy, Nov 16, 2021
    #3
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