document.write( "Question 78204: An artist wants her painting to be in the shape of a golden rectangle. If the length of the painting is 36 inches, then what should be the width? \n" ); document.write( "
Algebra.Com's Answer #56107 by Edwin McCravy(20054) $\"\"$ $\"About$
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document.write( "An artist wants her painting to be in the shape of a golden \r\n" );
document.write( "rectangle.  If the length of the painting is 36 inches, \r\n" );
document.write( "then what should be the width?\r\n" );
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document.write( "I will assume that since LENGTH comes from the word LONG,\r\n" );
document.write( "that LENGTH means the LONGER side, and WIDTH is the shorter\r\n" );
document.write( "side.  Whether that is right or not, I don't know. But\r\n" );
document.write( "anyway I'll assume it.\r\n" );
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document.write( " width of golden rectangle        length of golden rectangle\r\n" );
document.write( "---------------------------- = ----------------------------------\r\n" );
document.write( " length of golden rectangle     width+length of golden rectangle\r\n" );
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document.write( "Let w = the width of the golden rectangle:\r\n" );
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document.write( "                           w      36\r\n" );
document.write( "                         ---- = ------\r\n" );
document.write( "                          36     w+36\r\n" );
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document.write( "Cross multiply:\r\n" );
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document.write( "                    w(w + 36) = (36)(36)\r\n" );
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document.write( "                     wｲ + 36w = 1296\r\n" );
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document.write( "              wｲ + 36w - 1296 = 0\r\n" );
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document.write( "Use the quadratic formula:\r\n" );
document.write( "                  ______ \r\n" );
document.write( "            -b ｱ ﾖbｲ-4ac\r\n" );
document.write( "        w = 覧覧覧覧覧覧予r\n" );
document.write( "                2a \r\n" );
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document.write( "where a = 1; b = 36; c = -1296\r\n" );
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document.write( "                      _________________ \r\n" );
document.write( "             -(36) ｱ ﾖ(36)ｲ-4(1)(-1296)\r\n" );
document.write( "        w = 覧覧覧覧覧覧覧覧覧覧覧覧覧覧予r\n" );
document.write( "                        2(1) \r\n" );
document.write( "                    _________ \r\n" );
document.write( "             -36 ｱ ﾖ1296+5184\r\n" );
document.write( "        w = 覧覧覧覧覧覧覧覧覧予r\n" );
document.write( "                    2\r\n" );
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document.write( "                    ____ \r\n" );
document.write( "             -36 ｱ ﾖ6480\r\n" );
document.write( "        w = 覧覧覧覧覧覧覧\r\n" );
document.write( "                  2\r\n" );
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document.write( "                    ______ \r\n" );
document.write( "             -36 ｱ ﾖ1296ｷ5\r\n" );
document.write( "        w = 覧覧覧覧覧覧覧予r\n" );
document.write( "                   2 \r\n" );
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document.write( "                      _\r\n" );
document.write( "             -36 ｱ 36ﾖ5\r\n" );
document.write( "        w = 覧覧覧覧覧覧\r\n" );
document.write( "                  2\r\n" );
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document.write( "                       _\r\n" );
document.write( "            -36     36ﾖ5\r\n" );
document.write( "        w = 覧覧 ｱ 覧覧覧\r\n" );
document.write( "              2      2\r\n" );
document.write( "                     _\r\n" );
document.write( "        w = -18 ｱ 18ﾖ5 \r\n" );
document.write( "                           _\r\n" );
document.write( "Using the +, w = -18 + 18 ﾖ5, which\r\n" );
document.write( "is one solution and equals about 22.25\r\n" );
document.write( "                          _ \r\n" );
document.write( "Using the -, w = -18 - 18ﾖ5, which\r\n" );
document.write( "is one solution and equals about -58.25\r\n" );
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document.write( "We discard the negative answer, and the answer is\r\n" );
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document.write( "Width = 22.25 inches, rounded to the nearest hundredth.\r\n" );
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document.write( "Edwin
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