document.write( "Question 917664: Rose is carefully framing a 12-inch x 16-inch family photo so that the length and width of the frame have the same ratio as the photo. She is using a piece of frame 70 inches in length (perimeter). What are the length and width of the frame? \n" ); document.write( "

Algebra.Com's Answer #556754 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+L+\"$ = length of the frame
\n" ); document.write( "Let $\"+W+\"$ = the width of the frame
\n" ); document.write( "---------------
\n" ); document.write( "Given:
\n" ); document.write( " $\"+L%2FW+=+16%2F12+\"$
\n" ); document.write( "(1) $\"+L%2FW+=+4%2F3+\"$
\n" ); document.write( "------------------
\n" ); document.write( " $\"+P+=+2L+%2B+2W+\"$ ( formula )
\n" ); document.write( " $\"+70+=+2L+%2B+2W+\"$
\n" ); document.write( "(2) $\"+35+=+L+%2B+W+\"$
\n" ); document.write( "------------------
\n" ); document.write( "(1) $\"+L+=+%284%2F3%29%2AW+\"$
\n" ); document.write( "Substitute this into (2)
\n" ); document.write( "(2) $\"+35+=+%284%2F3%29%2AW+%2B+W+\"$
\n" ); document.write( "(2) $\"+35+=+%287%2F3%29%2AW+\"$
\n" ); document.write( "(2) $\"+W+=+%283%2F7%29%2A35+\"$
\n" ); document.write( "(2) $\"+W+=+15+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(2) $\"+L+%2B+W+=+35+\"$
\n" ); document.write( "(2) $\"+L+=+35+-+15+\"$
\n" ); document.write( "(2) $\"+L+=+20+\"$
\n" ); document.write( "---------------
\n" ); document.write( "The length is 20 in.
\n" ); document.write( "The width is 15 in.
\n" ); document.write( "-----------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+L%2FW+=+16%2F12+\"$
\n" ); document.write( " $\"+20%2F15+=+16%2F12+\"$
\n" ); document.write( " $\"+4%2F3+=+4%2F3+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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