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Math Help - Find a rectangle insde a rotated rectangle that has a different propotion

  1. #1
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    Find a rectangle insde a rotated rectangle that has a different propotion

    I have a rectangle, A, of known size, that starts aligned to the x/y axes, and can rotate around its centre point.

    For any given angle of rotation, I need to determine the maximum dimensions of a second rectangle, B, that:

    - is inscribed inside A
    - has a different porportion than A, the propotion of B (Proportion of A not equal to Proportion of B)
    - maintains alignment to the x/y axes


    So, here A (the black rectangle) has been rotated through 30 degrees (the red rectangle). How do I determine the maximum size of B (the blue rectangle)?

    Thanks for any help
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  2. #2
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    Re: Find a rectangle insde a rotated rectangle that has a different propotion

    Quote Originally Posted by stephencx View Post
    I have a rectangle, A, of known size, that starts aligned to the x/y axes, and can rotate around its centre point.

    For any given angle of rotation, I need to determine the maximum dimensions of a second rectangle, B, that:

    - is inscribed inside A
    - has a different porportion than A, the propotion of B (Proportion of A not equal to Proportion of B)
    - maintains alignment to the x/y axes


    So, here A (the black rectangle) has been rotated through 30 degrees (the red rectangle). How do I determine the maximum size of B (the blue rectangle)?

    Thanks for any help
    Could you please provide us with the drawing you are obviously refering to?

    Otherwise it's a little bit hard for me to help you.
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  3. #3
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    Re: Find a rectangle insde a rotated rectangle that has a different propotion

    Find a rectangle insde a rotated rectangle that has a different propotion-math.jpg
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