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Math Help - Length and area #2

  1. #1
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    Length and area #2

    4. A rectangle ABCD, which measures 9ft by 12ft, is folded once perpendicular to diagonal AC so that the opposite vertices A and C coincide. Find the length of the fold.

    5. Line AC = 3, Line BC = 4, Line EF = 2
    DEFG is a rectangle. ABC is a right triangle. DE is perpendicular to AB. Find the area of DEFG


    Thanks for helping!
    Last edited by mr fantastic; October 14th 2010 at 03:48 AM. Reason: Questions moved to new thread.
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  2. #2
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    Quote Originally Posted by ejaykasai View Post
    4. A rectangle ABCD, which measures 9ft by 12ft, is folded once perpendicular to diagonal AC so that the opposite vertices A and C coincide. Find the length of the fold.

    5. Line AC = 3, Line BC = 4, Line EF = 2
    DEFG is a rectangle. ABC is a right triangle. DE is perpendicular to AB. Find the area of DEFG
    4: Did you actually "cut off" a representative 9by12 rectangle (make it 3by4 inches!) to "see"?
    Make EF = fold line (E on AB, F on CD) and make G intersection point of AC and EF.
    Now go fold a 3by4 rectangle and see what you come up with...

    5: HINT: Triangles ABC, ADE, BFG and CDG are similar right triangles; and AB = 5.
    Let AE = x: then BF = 3 - x ; now have some fun...
    Thanks from nikiminads
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