document.write( "Question 1138743: I have 120 cm of framing material to make a picture frame, which will be most pleasing to the eye if its height is 2/3 of its width. What dimensions should I use? \n" ); document.write( "

Algebra.Com's Answer #756549 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
( 2/3 ) / 1 is the same as 2/3
\n" ); document.write( "Let the height = $\"+x+\"$
\n" ); document.write( " $\"+2x+\"$ = sum of both verticals
\n" ); document.write( " $\"+120+-+2x+\"$ = the sum of both horizontals
\n" ); document.write( " $\"+%28+120+-+2x+%29%2F2+=+60+-+x+\"$ is the width
\n" ); document.write( "and
\n" ); document.write( " $\"+2%2F3+=+x+%2F+%28+60+-+x+%29+\"$
\n" ); document.write( " $\"+2%2A%28+60+-+x+%29+=+3x+\"$
\n" ); document.write( " $\"+120+-+2x+=+3x+\"$
\n" ); document.write( " $\"+5x+=+120+\"$
\n" ); document.write( " $\"+x+=+24+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+60+-+x+=+36+\"$
\n" ); document.write( "------------------------
\n" ); document.write( "The picture is 24 x 36
\n" ); document.write( "------------------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+2%2A24+=+48+\"$
\n" ); document.write( " $\"+2%2A36+=+72+\"$
\n" ); document.write( " $\"+48+%2B+72+=+120+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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