document.write( "Question 1207848: The length of a rectangle is 5 feet more than three times the width. The perimeter of the rectangle is 146 feet. What is the width and the length of the rectangle? State what x represents, state the equation, and then state the answer. \n" ); document.write( "

Algebra.Com's Answer #845985 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "The length of a rectangle is 5 feet more than three times the width.
\n" ); document.write( "The perimeter of the rectangle is 146 feet. What is the width and the length of the rectangle?
\n" ); document.write( "State what x represents, state the equation, and then state the answer.
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\n" ); document.write( "\n" ); document.write( "        As I interpret the problem and the question/request, this visitor\r
\n" ); document.write( "\n" ); document.write( "        (or a person of whom he/she does represent) wants that we, the tutors,\r
\n" ); document.write( "\n" ); document.write( "        perform/share a standard mantra which should be played/pronounced as a solution.\r
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\n" ); document.write( "\n" ); document.write( "        As he/she mentions only one unknown x, it means the solution be presented in one unknown.\r
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\n" ); document.write( "\n" ); document.write( "        Such solution is presented below. It is one of possible mantra.\r
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document.write( "Let x be the width of the rectangle, in feet.\r\n" );
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document.write( "Then the length of the rectangle is 3x+5 feet, according to the problem.\r\n" );
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document.write( "For the perimeter of the rectangle, we can write this equation\r\n" );
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document.write( "    x + (3x+5) + x + (3x+5) = 146.   \r\n" );
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document.write( "It reflects the fact that the perimeter of a rectangle \r\n" );
document.write( "is the sum of the lengths of all four its sides.\r\n" );
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document.write( "Simplify and find x\r\n" );
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document.write( "    8x + 10 = 146,\r\n" );
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document.write( "    8x = 146 - 10,\r\n" );
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document.write( "    8x = 136\r\n" );
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document.write( "     x = 136/8 = 17.\r\n" );
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document.write( "Thus the width is 17 feet;  the length is 3*17+5 = 56 feet.\r\n" );
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document.write( "ANSWER.  The width is 17 feet; the length is 56 feet.\r\n" );
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document.write( "CHECK.   The perimeter is  17 + 56 + 17 + 56 = 146 feet.   ! correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "At this point, the problem is solved in full with all necessary explanations,
\n" ); document.write( "with complete checking and precisely in the form as requested.\r
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\n" ); document.write( "\n" ); document.write( "Now the visitor can use this my post as a TEMPLATE to solve thousand \r
\n" ); document.write( "\n" ); document.write( "other similar problems or as a standard mantra to teach others from a pulpit\r
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