document.write( "Question 1188330: The length of a certain rectangle is 8 more than the width. The perimeter of the rectangle is 6 more than five times the width. Find the width of the rectangle. \n" ); document.write( "

Algebra.Com's Answer #819392 by ikleyn(52817) $\"\"$ $\"About$

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\n" ); document.write( "The length of a certain rectangle is 8 more than the width.
\n" ); document.write( "The perimeter of the rectangle is 6 more than five times the width.
\n" ); document.write( "Find the width of the rectangle.
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document.write( "Let L be the length;  W be the width.\r\n" );
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document.write( "Then we have these two equations\r\n" );
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document.write( "    L - W = 8             (1)\r\n" );
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document.write( "    2L + 2W - 5W = 6      (2)\r\n" );
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document.write( "Simplify second equation; keep first equation as is\r\n" );
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document.write( "     L -  W = 8           (1')\r\n" );
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document.write( "    2L - 3W = 6           (2')\r\n" );
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document.write( "From equation (1'), express  L = W + 8 and substitute it in equation (2')\r\n" );
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document.write( "    2*(W + 8) - 3W = 6\r\n" );
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document.write( "    2W + 16   - 3W = 6\r\n" );
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document.write( "     16 - 6 - W = 0\r\n" );
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document.write( "      W         = 10\r\n" );
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document.write( "      L = W + 8 = 10 + 8 = 18.\r\n" );
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document.write( "ANSWER.  The length is 18 units.  The width is 10 units.\r\n" );
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