document.write( "Question 1149545: Alec has written an award winning short story. His mother wants to frame it with a uniform border. She wants the finished product to have an area of 315 in^2. The writing portion occupies an area that is 11 inches wide and 17 inches long. How wide is the border? \n" ); document.write( "
Algebra.Com's Answer #770887 by ikleyn(52781)\"\" \"About 
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document.write( "The dimensions of the writing portion are 11 inches by 17 inches.\r\n" );
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document.write( "If the width of the uniform border is x inches, then the outer dimensions of the finished product are  (11+2x) by (17+2x) inches.\r\n" );
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document.write( "The equation for the area of the finished product is\r\n" );
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document.write( "    (11+2x)*(17+2x) = 315   square inches.\r\n" );
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document.write( "Simplify and solve for x\r\n" );
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document.write( "    11*17 + 56x + 4x^2 = 315\r\n" );
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document.write( "    4x^2 + 56x - 128 = 0\r\n" );
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document.write( "     x^2 + 14x - 32  = 0\r\n" );
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document.write( "     (x+16)*(x-2)    = 0\r\n" );
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document.write( "Of the two roots, x= -16  and  x= 2,  only positive root x= 2 makes sense.\r\n" );
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document.write( "ANSWER.  The uniform width of the border is 2 inches.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "To see many other similar solved problems,  look into the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Problems on the area and the dimensions of a rectangle surrounded by a strip\r
\n" ); document.write( "\n" ); document.write( "    - Cynthia Besch wants to buy a rug for a room \r
\n" ); document.write( "\n" ); document.write( "    - Problems on a circular pool and a walkway around it\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "Also,  you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lesson is the part of this online textbook under the topic
\n" ); document.write( "\"Dimensions and the area of rectangles and circles and their elements\".\r
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\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I
\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
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