document.write( "Question 1041032: The load that can be supported by a rectangular beam varies jointly as the width of the beam and the square of its​ height, and inversely as the length of the beam. A beam 14 feet​ long, with a width of 6 inches and a height of 4 inches can support a maximum load of 900 pounds. If a similar board has a width of 8 inches and a height of 5 ​inches, how long must it be to support 1400 ​pounds? \n" ); document.write( "
Algebra.Com's Answer #655972 by Fombitz(32388)\"\" \"About 
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\"W=kwh%5E2%2FL\"
\n" ); document.write( "Substituting to find \"k\",
\n" ); document.write( "\"900=k%28%286%29%284%29%5E2%29%2F14\"
\n" ); document.write( "\"k=525%2F4\"
\n" ); document.write( "So then,
\n" ); document.write( "\"1400=%28525%2F4%29%28%288%29%285%29%5E2%29%2FL%29\"
\n" ); document.write( "\"L=%28525%2F4%29%28%288%29%285%29%5E2%29%2F1400%29\"
\n" ); document.write( "\"L=75%2F4\"\"ft\"\r
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