document.write( "Question 262612: Clint is constructing two adjacent rectangular dog pens. Each pen will be three times as long as it is wide, and the pens will share a common long side. If clint has 65 ft of fencing, what are the dimensions of each pen? \n" ); document.write( "
Algebra.Com's Answer #853971 by ikleyn(53742)\"\" \"About 
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\n" ); document.write( "Clint is constructing two adjacent rectangular dog pens. Each pen will be three times as long as it is wide,
\n" ); document.write( "and the pens will share a common long side. If clint has 65 ft of fencing, what are the dimensions of each pen?
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\n" ); document.write( "\n" ); document.write( "        The solution in the post by @mananth is incorrect conceptually: he incorrectly setup his governing equation.\r
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document.write( "Let x be width of the pens, in feet.\r\n" );
document.write( "Then their length is 3x feet, according to the problem.\r\n" );
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document.write( "We have 3 long sides of the length 3x ft each, and 4 short sides of the length x ft each.\r\n" );
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document.write( "So, the total length of all dimensions is   3*(3x) + 4x.\r\n" );
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document.write( "Therefore, the equation for the total fence length is\r\n" );
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document.write( "    3*(3x) + 4x = 65  feet.\r\n" );
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document.write( "Simplify and find x\r\n" );
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document.write( "    13x = 65,\r\n" );
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document.write( "      x = 65/13 = 5 feet.\r\n" );
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document.write( "ANSWER.  The dimensions of each pen are  5 ft x 15 ft.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved correctly.\r
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\n" ); document.write( "\n" ); document.write( "Thanks to tutor @greenestamps for noticing my typo.
\n" ); document.write( "I just fixed it.\r
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