document.write( "Question 885168: A rectangular field with dimensions of 30 meters by 50 meters is to be surrounded by a fence. Posts are placed every 2 meters. a)How many posts are needed.
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document.write( "b)How many posts are needed if one 50 meter side is not fenced? c)How many posts are needed if one 30 meter side is not fenced?
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document.write( "So I did fine on the first part--I got 80 posts, but then for part b and c I got 55 and 65, but the answer in the back says 56 and 66. I don't understand why it is one more! \n" );
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Algebra.Com's Answer #535008 by KMST(5328)![]() ![]() You can put this solution on YOUR website! a) The perimeter of that field (in meters) is \n" ); document.write( " \n" ); document.write( "That is \n" ); document.write( "Each 2-meter stretch of fence starts at 1 post, \n" ); document.write( "and counting the starting posts is all we need, \n" ); document.write( "because the post at the end of each 2-meter stretch \n" ); document.write( "is already counted as the starting post of the next 2-meter piece of fence. \n" ); document.write( "So \n" ); document.write( " \n" ); document.write( "b) If one of the 50-meter sides does not need to be fenced, \n" ); document.write( "the length of fence you need (in meters) is \n" ); document.write( " \n" ); document.write( "That will be \n" ); document.write( "You start at one corner of the side that does not need fence, \n" ); document.write( "and start installing fence on the 30-meter side that starts from that corner. \n" ); document.write( "You put one post at that corner: the starting post of the first 2-meter stretch of fence, \n" ); document.write( "and you keep adding one more post and one more section of fence, all around the 3 sides that need fence. \n" ); document.write( "When you have installed 55 starting posts and 55 pieces of fence, \n" ); document.write( "you need one more post at the end of fence section number 55. \n" ); document.write( "That post is not the starting post of the next section of fence, \n" ); document.write( "because there is no next section of fence. \n" ); document.write( "So you need \n" ); document.write( " \n" ); document.write( "c) It is just like part b). \n" ); document.write( "You need a starting post for each of the 2-meter section of fence, \n" ); document.write( "and you also need an ending post for the last 2-meter section of fence. \n" ); document.write( "You need \n" ); document.write( "That is \n" ); document.write( "That means \n" ); document.write( "and \n" ); document.write( "That is |