document.write( "Question 331705: please answer this: the width of a rectangular window frame is 12 inches less than its length. if you add 30 inches to both the length and the width, you double the perimeter. find the length and the width of the original rectangle? \n" ); document.write( "
Algebra.Com's Answer #237828 by ankor@dixie-net.com(22740)\"\" \"About 
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the width of a rectangular window frame is 12 inches less than its length.
\n" ); document.write( " if you add 30 inches to both the length and the width, you double the perimeter.
\n" ); document.write( " find the length and the width of the original rectangle?
\n" ); document.write( ":
\n" ); document.write( "Find the original perimeter (P1)
\n" ); document.write( "P1 = 2L + 2W
\n" ); document.write( "\"the width of a rectangular window frame is 12 inches less than its length.\"
\n" ); document.write( "P1 = 2L + 2(L-12)
\n" ); document.write( "P1 = 2L + 2L - 24
\n" ); document.write( "p1 = 4L - 24, the original perimeter
\n" ); document.write( ":
\n" ); document.write( "Find the doubled perimeter
\n" ); document.write( "\"if you add 30 inches to both the length and the width,\"
\n" ); document.write( "P2 = 2(L+30) + 2(W+30)
\n" ); document.write( "P2 = 2L + 60 + 2W + 60
\n" ); document.write( "P2 = 2L + 2W + 120
\n" ); document.write( "Replace W with (L-12)
\n" ); document.write( "P2 = 2L + 2(L-12) + 120
\n" ); document.write( "P2 = 2L + 2L - 24 + 120
\n" ); document.write( "P2 = 4L + 96,
\n" ); document.write( ":
\n" ); document.write( "It says the new perimeter = twice the old perimeter; P2 = 2(P1)
\n" ); document.write( "4L + 96 = 2(4L - 24)
\n" ); document.write( "4L + 96 = 8L - 48
\n" ); document.write( "96 + 48 = 8L - 4L
\n" ); document.write( "144 = 4L
\n" ); document.write( "L = \"144%2F4\"
\n" ); document.write( "L = 36 in is the original length
\n" ); document.write( "then
\n" ); document.write( "36 - 12 = 24 in is the original width
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\n" ); document.write( ":
\n" ); document.write( "You can check the solution by finding the old and the new perimeters\r
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