document.write( "Question 524047: plz.plz help so lost . sue is replacinig the wood frame around the rectangular window in her kitchen. the width of the window is eight less than three times the height. the total amount of wood needed to go around the window frame is 272 inches. what is the width and height of her window. \n" ); document.write( "

Algebra.Com's Answer #347527 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
If $\"w\"$ is the width and $\"h\"$ is the height,
\n" ); document.write( "The perimeter of a rectangle is
\n" ); document.write( " $\"+P+=+2h+%2B+2w+\"$
\n" ); document.write( "given:
\n" ); document.write( " $\"+w+=+3h+-+8+\"$
\n" ); document.write( " $\"+P+=+272+\"$
\n" ); document.write( "------------
\n" ); document.write( "By substitution:
\n" ); document.write( " $\"+272+=+2h+%2B+2%2A%283h+-+8%29+\"$
\n" ); document.write( " $\"+272+=+2h+%2B+6h+-+16+\"$
\n" ); document.write( " $\"+8h+=+272+%2B+16+\"$
\n" ); document.write( " $\"+8h+=+288+\"$
\n" ); document.write( " $\"+h+=+36+\"$
\n" ); document.write( "and, since
\n" ); document.write( " $\"+w+=+3h+-+8+\"$
\n" ); document.write( " $\"+w+=+3%2A36+-+8+\"$
\n" ); document.write( " $\"+w+=+108+-+8+\"$
\n" ); document.write( " $\"+w+=+100+\"$
\n" ); document.write( "The width is 100 and the height is 36
\n" ); document.write( "check:
\n" ); document.write( " $\"+P+=+2h+%2B+2w+\"$
\n" ); document.write( " $\"+272+=+2%2A36+%2B+2%2A100+\"$
\n" ); document.write( " $\"+272+=+72+%2B+200+\"$
\n" ); document.write( " $\"+272+=+272+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );