document.write( "Question 985619: Find a rectangle which has a perimeter equal to 100cm and an area equal to 200 square cm \n" ); document.write( "
Algebra.Com's Answer #606462 by solver91311(24713)\"\" \"About 
You can put this solution on YOUR website!
\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The perimeter of a rectangle is twice the length plus twice the width. Therefore, the sum of the length and the width is half the perimeter.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Since the area of a rectangle is the length times the width, we can say:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "If the area must be 200, then:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Solve the quadratic for , then calculate .\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Use the quadratic formula because the quadratic equation does not factor.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "John
\n" ); document.write( "
\n" ); document.write( "My calculator said it, I believe it, that settles it\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );