Geometry

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The perimeter of a rectangle is 76 feet. If the width is doubled and the length is halved, the new rectangle will have a perimeter of 62 feet. Find the dimensions of the original rectangle. Define your variables.

  • Geometry -

    old rectangle:
    length : y
    width : x
    so 2x + 2y = 76 or
    x+y = 38

    new rectangle:
    2x by y/2

    2(2x) + 2(y/2) = 62
    4x + y = 62

    subtract them:
    3x = 24
    x = 8 ,then y = 30

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