document.write( "Question 1207822: One formula stating the relationship between the length l and width of a rectangle of “pleasing proportion”is w L^2 = w(L + w). How should a 4 foot by 8 foot sheet of plasterboard be cut so that the result is a rectangle of “pleasing proportion” with a width of 4 feet? \n" ); document.write( "

Algebra.Com's Answer #845943 by ikleyn(52803) $\"\"$ $\"About$

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\n" ); document.write( "One formula stating the relationship between the length $\"highlight%28cross%28l%29%29\"$ L and width w of a rectangle
\n" ); document.write( "of “pleasing proportion” is $\"highlight%28cross%28w%29%29\"$ L^2 = w(L + w). How should a 4 $\"highlight%28cross%28foot%29%29\"$ feet by 8 $\"highlight%28cross%28foot%29%29\"$ feet sheet
\n" ); document.write( "of plasterboard be cut so that the result is a rectangle of “pleasing proportion” with a width of 4 feet?
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document.write( "Let's take w= 4 feet and find L from this equation\r\n" );
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document.write( "    L^2 = w*(L + w).\r\n" );
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document.write( "So,  \r\n" );
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document.write( "    L^2 = 4*(L + 4)\r\n" );
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document.write( "    L^2 - 4L - 16 = 0\r\n" );
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document.write( "     =  =  = .\r\n" );
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document.write( "We disregard the negative root and accept the positive one  L =  = 6.472135955.\r\n" );
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document.write( "So, the cut should be at L = 6.472 feet from the 4 ft edge.    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "By the way, this problem was solved at this forum many years ago (~ 15 years ago) under this link\r
\n" ); document.write( "\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/Quadratic_Equations.faq.question.669064.html\r
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