document.write( "Question 1144267: The length of a rectangle is 2 feet more than the width. The area of the rectangle is 2 square feet. What are the dimensions of the rectangle? \n" ); document.write( "

Algebra.Com's Answer #765338 by ikleyn(52803) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( " For this problem, I will show you two ways (two methods) of solution.\r
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\n" ); document.write( "\n" ); document.write( " First way is TRADITIONAL. You may find it everywhere, and it is boring.\r
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document.write( "If x is the width, then the length is (x+2) and the area equation is\r\n" );
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document.write( "    x*(x+2) = 2  square feet,\r\n" );
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document.write( "    x^2 + 2x - 2 = 0.\r\n" );
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document.write( "Use the quadratic formula\r\n" );
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document.write( "     =  =  =  = .\r\n" );
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document.write( "The width should be positive, so only positive root  x =   is the solution for the width.\r\n" );
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document.write( "ANSWER.  The width is  W = .  The length is  L = W+2 = .\r\n" );
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\n" ); document.write( "\n" ); document.write( " The other method is fresh as a matutinal dawn in May, unexpected and elegant. \r
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\n" ); document.write( "\n" ); document.write( " You may learn it only from me at this forum and in this site -- and practically nowhere else.\r
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document.write( "Let \"x\" be an unknown value on number line exactly half-way between the length L and the width W values of the rectangle.\r\n" );
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document.write( "Then, OBVIOUSLY,  x = W + 1 = L - 1, and the area is\r\n" );
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document.write( "    L*W = (x+1)*(x-1) = 2,    or\r\n" );
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document.write( "           = 2,  i.e.\r\n" );
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document.write( "           = 2 + 1 = 3;\r\n" );
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document.write( "     hence,  x = .  \r\n" );
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document.write( "Thus the dimensions of the rectangle are  W = x-1 =   (the width)  and  L = x+1 =   (the length).\r\n" );
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document.write( "You got the same answer, in a quick and simple manner.\r\n" );
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\n" ); document.write( "\n" ); document.write( "See the lessons\r
\n" ); document.write( "\n" ); document.write( "    - HOW TO solve the problem on quadratic equation mentally and avoid boring calculations \r
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\n" ); document.write( "\n" ); document.write( "    - Problems on the area and the dimensions of a rectangle\r
\n" ); document.write( "\n" ); document.write( "    - Three methods to find the dimensions of a rectangle when its perimeter and the area are given\r
\n" ); document.write( "\n" ); document.write( "    - Three methods to find the dimensions of a rectangle when its area and the difference of two dimensions are given \r
\n" ); document.write( "\n" ); document.write( "in this site,\r
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\n" ); document.write( "\n" ); document.write( "where you will find many other similar solved problems (your TEMPLATES) with detailed explanations.\r
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\n" ); document.write( "\n" ); document.write( "            Come again soon to this forum to learn more (!)\r
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