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A rectangular garden is 20 m by 25m. It is surrounded by a sidewalk. The outside perimeter of the sidewalk is 114m. What is the width of the sidewalk?

  • math -

    let the width of the sidewalk be x m
    new dimensions:
    20+2x by 25+2x

    2(20+2x) + 2(25+x) = 114
    40 + 4x + 50 + 4x = 114
    8x = 24
    x = 3

    the sidewalk is 3 m wide.

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