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)![]() ![]() 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( " |