SOLUTION: 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?

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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?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
( 2/3 ) / 1 is the same as 2/3
Let the height = +x+
+2x+ = sum of both verticals
+120+-+2x+ = the sum of both horizontals
+%28+120+-+2x+%29%2F2+=+60+-+x+ is the width
and
+2%2F3+=+x+%2F+%28+60+-+x+%29+
+2%2A%28+60+-+x+%29+=+3x+
+120+-+2x+=+3x+
+5x+=+120+
+x+=+24+
and
+60+-+x+=+36+
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The picture is 24 x 36
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check:
+2%2A24+=+48+
+2%2A36+=+72+
+48+%2B+72+=+120+
OK