document.write( "Question 1201075: Hello I'm having trouble with this one, thanks for the help. The dimensions of a picture inside a frame of uniform width are 12 by 16
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Algebra.Com's Answer #835333 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "Hello I'm having trouble with this one, thanks for the help. T
\n" ); document.write( "he dimensions of a picture inside a frame of uniform width are 12 by 16 inches.
\n" ); document.write( "If the whole area (picture and frame) is 288 in2, what is the width of the frame?
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document.write( "Let's the width of the frame be x inches.\r\n" );
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document.write( "Then the dimensions of the frame are (12+2x) and (16+2x) inches,\r\n" );
document.write( "and we write the total area equation in the form\r\n" );
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document.write( "    (12+2x)*(16+2x) = 288  in^2.\r\n" );
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document.write( "For simplicity, divide both sides by 4\r\n" );
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document.write( "    (6+x)*(8+x) = 72\r\n" );
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document.write( "Simplify and find x\r\n" );
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document.write( "    48 + 6x + 8x + x^2 = 72\r\n" );
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document.write( "    x^2 + 14x - 24 = 0.\r\n" );
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document.write( "It is not factorable (despite expectations); so, use the quadratic formula\r\n" );
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document.write( "     =  =  = .\r\n" );
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document.write( "We deny the negative root and accept the positive one x =  = 1.544 in  (rounded).\r\n" );
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document.write( "ANSWER.  The width of the frame is   = 1.544 in  (rounded).\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "If you want 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
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\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
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\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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