Math

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Venski and his brother have each agreed to mow half of the front lawn, which is a rectangle, 120 feet by 60 feet. The law mower cuts a 4-foot-wide strip. If Venski starts at one corner and mows around the lawn toward the center, on which trip around will he have half the area of the lawn mowed?

  • Math -

    area of whole thing is 120x60 = 7200 ft^2
    so half of that is 3600 ft^2

    make a sketch showing the first run
    area of 1st run = 120x4 + 120x4 + 52x4 + 52x4
    = 1376
    leaving 2224

    make a sketch of the remaining rectangle which is 112 by 52
    area of 2nd run = 112x4+112x4+48x4+48x4
    = 1280
    leaving 944

    which he will be a able to finish on this 3rd round.

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