document.write( "Question 889128: A steel wire of 28m is bent to form a rectangle with an area of 46 m2. Calculate the breadth and length of the rectangle. \n" ); document.write( "

Algebra.Com's Answer #537931 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"2%28L%2BW%29=28\"$
\n" ); document.write( " $\"L%2BW=14\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"L%2AW=46\"$
\n" ); document.write( "Substituting from above,
\n" ); document.write( " $\"%2814-W%29W=46\"$
\n" ); document.write( " $\"14W-W%5E2=46\"$
\n" ); document.write( " $\"W%5E2-14W%2B46=0\"$
\n" ); document.write( " $\"%28W%5E2-14W%2B49%29%2B46-49=0\"$
\n" ); document.write( " $\"%28W-7%29%5E2-3=0\"$
\n" ); document.write( " $\"%28W-7%29%5E2=3\"$
\n" ); document.write( " $\"W-7=0+%2B-+sqrt%283%29\"$
\n" ); document.write( " $\"W=7+%2B-+sqrt%283%29\"$
\n" ); document.write( "Then,
\n" ); document.write( " $\"L=14-%287+%2B-sqrt%283%29%29\"$
\n" ); document.write( " $\"L=7+%2B-+sqrt%283%29\"$ <--- In this case it should be -/+ not +/- but I don't have that symbol.
\n" ); document.write( "So, the dimensions of the rectangle are,
\n" ); document.write( " $\"7%2Bsqrt%283%29\"$ X $\"7-sqrt%283%29\"$
\n" ); document.write( " \n" ); document.write( "

\n" );