document.write( "Question 1053737: A square farm contains as many acres as there are boards in the fence enclosure. The fence is 7 boards high, and each board is 8.25 ft. in length. Determine acres in the farm.\r
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document.write( "My partial attempt:\r
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document.write( "x = number of boards = number of acres.\r
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document.write( "x/4 = number of boards on one side.\r
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document.write( "43560 = square ft. in acre.\r
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document.write( "Unsure how to continue. Thanks. \n" );
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Algebra.Com's Answer #668943 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! Let the side of the farm=x ft. \n" ); document.write( "The area is x^2 sq. ft. \n" ); document.write( "The number of boards along a side is (x/8.25)*7=(7x/8.25) \n" ); document.write( "The total number of boards is then (28x/8.25). \n" ); document.write( "That equals the number of acres. \n" ); document.write( "The number of acres of the farm is x^2/43560. \n" ); document.write( "Therefore, (x^2/43560)=(28x/8.25) \n" ); document.write( "cross-multiply \n" ); document.write( "8.25x^2=1219680x \n" ); document.write( "8.25x^2-1219680x=0 \n" ); document.write( "x(8.25x-1219680)=0 \n" ); document.write( "x=147840 feet \n" ); document.write( "x^2/43560 is 501760 acres or 784 sq miles (28 miles on a side) \n" ); document.write( "----------------------------------- \n" ); document.write( "Each side has 28 miles*5280 feet/mile, or 147840 feet \n" ); document.write( "divide that by 8.25 feet/board, and need 17920 boards just to line it. \n" ); document.write( "But there are 4 sides, so 71680 boards. \n" ); document.write( "And there are 7 boards stacked, so that is 71680*7=501760 boards. Checks \n" ); document.write( " \n" ); document.write( " |