document.write( "Question 271201: find the length and width with a ratio of 16:9 of a rectangle that has a 42 inch diagonal \n" ); document.write( "
Algebra.Com's Answer #198595 by checkley77(12844)\"\" \"About 
You can put this solution on YOUR website!
16^2+9^2=c^2 solution of a similar triangle.
\n" ); document.write( "256+81=c^2
\n" ); document.write( "c^2=337
\n" ); document.write( "c=sqrt337
\n" ); document.write( "c=18.35756 diagonal length.
\n" ); document.write( "42/18.35756=2.288 ans. for the multiplier.
\n" ); document.write( "16*2.288=36.608 ans. for the longer side.
\n" ); document.write( "9*2.288=20.592 ans. for the shorter side.
\n" ); document.write( "Proof:
\n" ); document.write( "36.608^2+20.592^2=42^2
\n" ); document.write( "1340.1456+424.03=1,764
\n" ); document.write( "1,764~1,764
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