Geometry

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A farmer uses 140 ft. of fencing to enclose a rectangular field. if the ratio of length to width is 3:4, find the diagonal of the field.

Any help is appreciated, thank you!

  • Geometry -

    W = 3/4L

    2L + 2(3/4L) = 140

    Solve for L and then W.

    Use those values in the Pythagorean theorem.

    L^2 + W^2 = D^2

  • Geometry -

    perimiter=21+2w+140ft
    2(3x)+2(4x)+140
    6x+8x+140
    14x=140
    x=10
    3x=30 4x=40
    the rectangle is 30' by 40'. this is a 3,4,5 right angleso the diagonal is 50'

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