document.write( "Question 171692: Could you please help me with this problem? I have a hard time figuring out how to set up word problems...\r
\n" ); document.write( "\n" ); document.write( "The perimeter of a picture frame is 11 feet. If three times the height is equal to eight times the width, what are the dimensions of the frame?\r
\n" ); document.write( "\n" ); document.write( "Thank you so much for your help...
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Algebra.Com's Answer #126816 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
All that's needed is the formula for perimeter
\n" ); document.write( "Let \"P\"= perimeter
\n" ); document.write( "Let \"h\"= height
\n" ); document.write( "Let \"w\"= width
\n" ); document.write( "To find the perimeter, you start at a certain point
\n" ); document.write( "on the closed figure and go all the way around
\n" ); document.write( "returning to your starting point
\n" ); document.write( "\"P+=+h+%2B+w+%2B+h+%2B+w\"
\n" ); document.write( "\"P+=+2h+%2B+2w\"
\n" ); document.write( "Given:
\n" ); document.write( "\"P+=+11\"ft
\n" ); document.write( "\"3h+=+8w\"
\n" ); document.write( "\"h+=+%288%2F3%29%2Aw\"
\n" ); document.write( "-----------------
\n" ); document.write( "\"11+=+2h+%2B+2w\"
\n" ); document.write( "\"11+=+2%2A%288%2F3%29%2Aw+%2B+2w\"
\n" ); document.write( "Multiply both sides by \"3\"
\n" ); document.write( "\"33+=+16w+%2B+6w\"
\n" ); document.write( "\"22w+=+33\"
\n" ); document.write( "\"w+=+1.5\"ft
\n" ); document.write( "\"h+=+%288%2F3%29%2Aw\"
\n" ); document.write( "\"h+=+%288%2F3%29%2A%283%2F2%29\"
\n" ); document.write( "\"h+=+4\"ft
\n" ); document.write( "The frame is 4 ft high anf 1.5 ft wide
\n" ); document.write( "check:
\n" ); document.write( "\"11+=+2%2A4+%2B+2%2A1.5\"
\n" ); document.write( "\"11+=+8+%2B+3\"
\n" ); document.write( "\"11+=+11\"
\n" ); document.write( "OK
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