document.write( "Question 1048563: What is the dimensions of a rectangle with a area of 2888 square meter and 228 meters for perimeter?
\n" ); document.write( "Thanks
\n" ); document.write( "Joshua
\n" ); document.write( "

Algebra.Com's Answer #664156 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
let the length be \"L\" and the width \"W\"\r
\n" ); document.write( "\n" ); document.write( "the area of rectangle is \"A=L%2AW\"
\n" ); document.write( "the perimeter of rectangle is \"P=2L%2B2W\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "if we have a rectangle with a area of \"A=2888m%5E2\" and \"P=228m\" for perimeter, than we have\r
\n" ); document.write( "\n" ); document.write( " \"L%2AW=2888m%5E2\"......eq.1\r
\n" ); document.write( "\n" ); document.write( "\"2L%2B2W=228m\"......eq.2
\n" ); document.write( "------------------------------solve this system\r
\n" ); document.write( "\n" ); document.write( "start with \"L%2AW=2888m%5E2\", solve for \"L\"\r
\n" ); document.write( "\n" ); document.write( "\"L=2888m%5E2%2FW\".......substitute in eq.2\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"2L%2B2W=228m\"......eq.2..first simplify this one\r
\n" ); document.write( "\n" ); document.write( "\"L%2BW=114\"......substitute \"L\"\r
\n" ); document.write( "\n" ); document.write( "\"2888%2FW%2BW=114\".......both sides multiply by \"W\"\r
\n" ); document.write( "\n" ); document.write( "\"2888%2BW%5E2=114W\"\r
\n" ); document.write( "\n" ); document.write( "\"W%5E2-114W%2B2888=0\"........factor\r
\n" ); document.write( "\n" ); document.write( "\"W%5E2-38W-76W%2B2888=0\"\r
\n" ); document.write( "\n" ); document.write( "\"%28W%5E2-38W%29-%2876W-2888%29=0\"\r
\n" ); document.write( "\n" ); document.write( "\"W%28W-38%29-76%28W-38%29=0\"\r
\n" ); document.write( "\n" ); document.write( "\"%28W-76%29+%28W-38%29+=+0\"\r
\n" ); document.write( "\n" ); document.write( "solutions:\r
\n" ); document.write( "\n" ); document.write( "\"W=76m\" or \"W=38m\"\r
\n" ); document.write( "\n" ); document.write( "now find \"L\"\r
\n" ); document.write( "\n" ); document.write( "\"L=2888m%5E2%2F76m\"->\"L=38m\"
\n" ); document.write( "\"L=2888m%5E2%2F38m\"->\"L=76m\"\r
\n" ); document.write( "\n" ); document.write( "so, \r
\n" ); document.write( "\n" ); document.write( "\"L=76m\" and \"W=38m\" or the other way around\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );