document.write( "Question 881304: Please help me solve this question:
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document.write( "You are given two pieces of wire, each 20 cm long. One piece is to be bent to form the biggest possible rectangle and the other piece to form a golden rectangle.Determine the length and width of each rectangle.Use two methods in each case.\r
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document.write( "Note:Golden rectangle have length y cm and width x cm,where y > x,is such that y/x = (x+y)/y = golden ratio that is 1.618 \n" );
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Algebra.Com's Answer #532107 by dkppathak(439)![]() ![]() You can put this solution on YOUR website! Please help me solve this question: \n" ); document.write( "You are given two pieces of wire, each 20 cm long. One piece is to be bent to form the biggest possible rectangle and the other piece to form a golden rectangle.Determine the length and width of each rectangle.Use two methods in each case.\r \n" ); document.write( "\n" ); document.write( "Note:Golden rectangle have length y cm and width x cm,where y > x,is such that y/x = (x+y)/y = golden ratio that is 1.618 \n" ); document.write( "let length is Y and width is X \n" ); document.write( "as per given first condition \n" ); document.write( "perimeter is 20 for both case \n" ); document.write( "p =2(l+b) \n" ); document.write( "20= 2(Y +X) \n" ); document.write( "10= Y +x if we have pair as 1,9 area is 9 2,8 area 16 3,7 area 21 4,6 area is 24 5,5 area is 25 ( but it will be square ) therefor \n" ); document.write( "maximum area will be 24 cm^2 \n" ); document.write( "so we can say biggest possible rectangle is 6,4 \n" ); document.write( "for golden ratio Y>x and Y +X/Y =1.6 \n" ); document.write( "therefor for second pair will be (1,9) (2,8( (3,7)(4,6) only \n" ); document.write( "by which we are getting golden ratio Y+X/Y= 10/6 =1.66 \n" ); document.write( "so golden ratio shows the side should be 6 and 4 only which shows golden ratio as length =6 cm and width =4 cm \n" ); document.write( "Answer \n" ); document.write( "biggest rectangle will be l=6 cm and width =4 cm \n" ); document.write( "golden rectangle will be also 6 and 4 only \n" ); document.write( " |