document.write( "Question 1050599: An engineer is designing a rectangular solar panel that must have an area of 3 m2. Determine the dimensions of the solar panel with a minimum perimeter.
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #666148 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
\"system%28xy=3%2C+p=2x%2B2y%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"y=3%2Fx\"
\n" ); document.write( "-
\n" ); document.write( "\"p=2x%2B2%283%2Fx%29\"
\n" ); document.write( "\"p=2x%2B6%2Fx\"
\n" ); document.write( "-
\n" ); document.write( "\"dp%2Fdx=2%2B6%28-1%29x%5E%28-2%29\"
\n" ); document.write( "\"dp%2Fdx=2-6%2Fx%5E2\"
\n" ); document.write( "-
\n" ); document.write( "Any minimum of maximum for p occurs for \"dp%2Fdx=0\".
\n" ); document.write( "\"2-6%2Fx%5E2=0\"
\n" ); document.write( "\"2=6%2Fx%5E2\"
\n" ); document.write( "\"x%5E2%2F6=1%2F2\"
\n" ); document.write( "\"x%5E2=6%2F2\"
\n" ); document.write( "\"x%5E2=3\"
\n" ); document.write( "\"x=0%2B-+sqrt%283%29\"
\n" ); document.write( "You must use a positive real value, so \"highlight%28x=sqrt%283%29%29\".\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "y, the other dimension:
\n" ); document.write( "\"y=x%2F3\"
\n" ); document.write( "\"highlight%28y=sqrt%283%29%2F3%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Just a technological graphical check if this really is a minimum:
\n" ); document.write( "\"p=2x%2B2%283%2Fx%29\"
\n" ); document.write( "\"p=2x%2B6%2Fx\"
\n" ); document.write( "\"graph%28300%2C300%2C-1%2C15%2C-1%2C15%2C2x%2B6%2Fx%29\"
\n" ); document.write( "
\n" );