document.write( "Question 422805: The length of a rectangular room is 4 feet longer than twice the width. If the room's perimeter is 200 feet, what are the room's dimensions? \n" ); document.write( "
Algebra.Com's Answer #295038 by algebrahouse.com(1659)![]() ![]() You can put this solution on YOUR website! \"The length of a rectangular room is 4 feet longer than twice the width. If the room's perimeter is 200 feet, what are the room's dimensions?\"\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = width \n" ); document.write( "2x + 4 = length {length is 4 longer than twice width}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Perimeter of a rectangle = 2(width) + 2(length)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2x + 2(2x + 4) = 200 {perimeter is 2(width) + 2(length)} \n" ); document.write( "2x + 4x + 8 = 200 {used distributive property} \n" ); document.write( "6x + 8 = 200 {combined like terms} \n" ); document.write( "6x = 192 {subtracted 8 from both sides} \n" ); document.write( "x = 32 {divided both sides by 6} \n" ); document.write( "2x + 4 = 68 {substituted 32, in for x, into 2x + 4}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "width = 32ft and length = 68ft \n" ); document.write( "www.algebrahouse.com\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |