document.write( "Question 155665This question is from textbook thinking mathematically
\n" ); document.write( ": A bookshelf is to be constructed. the length is to be 3 times the height. If 60 feet of lumbar is available for the entire unit, find the length and height of the book case. \n" ); document.write( "

Algebra.Com's Answer #114690 by jojo14344(1513) $\"\"$ $\"About$

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The bookshelf is rectangular in shape with $\"Length=3H\"$ ---> condition 1, 3 times the height
\n" ); document.write( "Take note $\"Width=Height=H\"$
\n" ); document.write( "Total $\"Perimeter=P=60ft\"$ , total feet of lumber available.
\n" ); document.write( "So, $\"P=2%28L%2BW%29\"$ ------------------------> working eqn
\n" ); document.write( "but, $\"W=H\"$ and $\"L=3H\"$ , then:
\n" ); document.write( " $\"P=2%283H%2BH%29\"$
\n" ); document.write( " $\"60ft=6H%2B2H\"$
\n" ); document.write( " $\"60ft=8H\"$ -----> $\"cross%2860%297.5ft%2Fcross%288%29=cross%288%29H%2Fcross%288%29\"$
\n" ); document.write( " $\"H=7.5ft\"$
\n" ); document.write( "And, $\"L=3%2A7.5=22.5ft\"$
\n" ); document.write( "In doubt? Go back working eqn, remember $\"W=H\"$
\n" ); document.write( " $\"60ft=2%2822.5%2B7.5%29\"$
\n" ); document.write( " $\"60=2%2830%29\"$
\n" ); document.write( " $\"60ft=60ft\"$
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo
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