document.write( "Question 197944: What is the length of a room that is 2 meters longer than it is wide and the perimeter is 24? This is not from the textbook \n" ); document.write( "

Algebra.Com's Answer #148468 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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What is the length of a room that is 2 meters longer than it is wide and the
\n" ); document.write( " perimeter is 24?
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\n" ); document.write( "let x = the width
\n" ); document.write( "let L = the length
\n" ); document.write( ":
\n" ); document.write( "\"length of a room that is 2 meters longer than it is wide\"
\n" ); document.write( "L = x + 2
\n" ); document.write( ":
\n" ); document.write( "Perimeter:
\n" ); document.write( "2L + 2x = 24
\n" ); document.write( ":
\n" ); document.write( "Replace L with (x+2)
\n" ); document.write( "2(x+2) + 2x = 24
\n" ); document.write( "2x + 4 + 2x = 24
\n" ); document.write( "4x = 24 - 4
\n" ); document.write( "4x = 20
\n" ); document.write( "x = $\"20%2F4\"$
\n" ); document.write( "x = 5 m is the width
\n" ); document.write( "then
\n" ); document.write( "5 + 2 = 7 m is the length
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\n" ); document.write( ":
\n" ); document.write( "Check solution by finding the perimeter using these values
\n" ); document.write( "2(7) + 2(5) = 24 \n" ); document.write( "

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