document.write( "Question 1021834: Ans please with Solution..\r
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document.write( "A farmer uses 140 feet of fencing to enclose a rectangular field, If the length of the field is (33)1/3% greater than its width .What is the diagonal distance from one corner of the enclosure to the opposite corner?
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Algebra.Com's Answer #637532 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! 33 and (1/3)% = 33 and (1/3) / 100 = (33 and 1/3 / 100) * (3/3) = 100 / 300 = 1/3 \n" ); document.write( ": \n" ); document.write( "length = width(w) + (w/3) \n" ); document.write( ": \n" ); document.write( "perimeter(P) = 2w + 2(4w/3) \n" ); document.write( ": \n" ); document.write( "140 = 2w + 8w/3 \n" ); document.write( ": \n" ); document.write( "14w/3 = 140 \n" ); document.write( ": \n" ); document.write( "14w = 560 \n" ); document.write( ": \n" ); document.write( "w = 40 and l = 160/3 \n" ); document.write( ": \n" ); document.write( "use Pythagorean Theorem to find the length of the diagonal \n" ); document.write( ": \n" ); document.write( "(120/3)^2 + (160/3)^2 = d^2 \n" ); document.write( ": \n" ); document.write( "d^2 = 40000 / 9 \n" ); document.write( ": \n" ); document.write( "d = square root (40000 / 9) = 200 / 3 = 66 and (2/3) feet \n" ); document.write( ": \n" ); document.write( "************************************** \n" ); document.write( "the diagonal is 66 and (2/3) feet long \n" ); document.write( "*************************************** \n" ); document.write( " \n" ); document.write( " |