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Math Help - Help with diagram

  1. #1
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    Help with diagram

    A uniform border on a framed photograph has the same area as the photograph. What are the outside dimensions of the border if the dimensions of the photograph are 25cm by 20cm?

    What would a diagram for this question look?
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  2. #2
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    Quote Originally Posted by sinjid9 View Post
    A uniform border on a framed photograph has the same area as the photograph. What are the outside dimensions of the border if the dimensions of the photograph are 25cm by 20cm?

    What would a diagram for this question look?
    Hi sinjid9,

    the attachment shows a diagram.

    You can either subtract the photo area from the area inside the outer
    perimeter of the frame

    (20+2x)(25+2x)-500=500

    or add up the areas inside the border

    2(25+2x)x+2(20)x=500

    Hence, you must solve

    2x^2+45x-250=0

    As this doesn't factorise easily, use

    x=\frac{-45\pm\sqrt{45^2-4(2)(-250)}}{2(2)}

    to find x.

    You should get a value slightly greater than 4
    Attached Thumbnails Attached Thumbnails Help with diagram-frame.jpg  
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