document.write( "Question 347798: A field has a rectangular shape. If the area is 5 square meters and the perimeter is 24 meters how far is it from one corner to the opposite corner?\r
\n" ); document.write( "\n" ); document.write( "I tried making a list of lengths and widths to get a perimeter of 24 but then the area was never 5 and if I found sides with an area of 5 the perimeter was no longer 24. I know I need to use the pythagorean theorem to find the diagonal but I don't know how to find the sides first.\r
\n" ); document.write( "\n" ); document.write( "Thanks.
\n" ); document.write( "

Algebra.Com's Answer #248683 by mananth(16946)\"\" \"About 
You can put this solution on YOUR website!
area = 5 sq.m
\n" ); document.write( "perimeter = 24
\n" ); document.write( "..
\n" ); document.write( "l*b= 5
\n" ); document.write( "l= 5/b
\n" ); document.write( "2(l+b)=24
\n" ); document.write( "l+b=12
\n" ); document.write( "plug value of l
\n" ); document.write( "5/b +b=12
\n" ); document.write( "5+b^2/ b =12
\n" ); document.write( "(5+b^2) =12b
\n" ); document.write( "b^2-12b+5 =0
\n" ); document.write( "solve the equation using quadratic formula
\n" ); document.write( "you will get
\n" ); document.write( "length =11.57
\n" ); document.write( "width = 0.43
\n" ); document.write( "CHECK
\n" ); document.write( "11.57*0.43= 4.98
\n" ); document.write( "find diagonal
\n" ); document.write( "
\n" );