Area and Perimeter: Mowing the LawnDate: 6/1/96 at 20:52:59 From: Anonymous Subject: Area and Perimeter Word Problem Jenn and Gregg have both agreed to mow half of a lawn. This lawn is a rectangle, 25 feet by 45 feet. Their lawn mower cuts a 2 feet wide path. If Jenn starts at a corner and makes a path around the outside, how many times should she go around to cut one half of the lawn? I started by multiplying 25 and 45 and got 1125. The next thing I did was to divide 1125 by 2 to get an answer of 564.1. I do not know if that's right and the answer does not make any sense!! Date: 6/2/96 at 8:0:36 From: Doctor Anthony Subject:Area and Perimeter Word Problem The total area is 25 x 45 = 1125. Half the area is 562.5 The area cut during the first circuit will be: (25 x 45 - 21 x 41) = 264 square feet During the second circuit, the area cut will be: (21 x 41 - 17 x 37) = 232 The total area cut so far is 264 + 232 = 496. The area that Jenn still has to cut is 562.5 - 496 = 66.5 sq.ft. If we do a complete third circuit, the area cut would be (17 x 37 - 13 x 33) = 200. So Jenn has 66.5/200 = .3325 (approx 1/3) of the third circuit to make. Jenn does 2 + (1/3) circuits to cut half the lawn. -Doctor Anthony, The Math Forum Check out our web site! http://mathforum.org/dr.math/ |
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