document.write( "Question 1170832: The frame around a picture measures x inches across. The dimension of the picture frame is 28 inches by 32 inches. If the area of the picture is 192 square inches, find the dimensions of the picture. \n" ); document.write( "
Algebra.Com's Answer #801765 by ikleyn(52790)\"\" \"About 
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document.write( "    (28-2x)*(32-2x) = 192    (the area of the picture, in square inches)\r\n" );
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document.write( "    (14-x)*(16-x) = 48\r\n" );
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document.write( "    x^2 - 30x + 14*16 - 48 = 0\r\n" );
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document.write( "    x^2 - 30x + 176 = 0.\r\n" );
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document.write( "Factor it                 <<<---===  re-edited starting from this point\r\n" );
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document.write( "    (x-8)*(x-22) = 0.\r\n" );
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document.write( "The roots are  x= 8  and x= 22.\r\n" );
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document.write( "Due to the problem's meaning, only the root  x= 8 is the possible width of the frame (22 is not).\r\n" );
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document.write( "Thus the dimensions of the picture are  28-2*8 = 12 inches  and  32 - 2*8 = 16 inches.    ANSWER\r\n" );
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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( "    - OVERVIEW of lessons on dimensions and the area of rectangles and circles and their elements\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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