document.write( "Question 1128963: The matting around the picture below has a uniform width. How wide is the matting if its area equals the area of the picture? Round to the nearest hundredth of an inch. (Assume x = 7 in. and y = 3 in.) \n" ); document.write( "

Algebra.Com's Answer #745540 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "(7+2x)*(3+2x) = 2*7*3 = 42.\r\n" );
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document.write( "21 + 6x + 14x + 4x^2 = 42\r\n" );
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document.write( "4x^2 + 20x - 21 = 0.\r\n" );
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document.write( " =  = .\r\n" );
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document.write( "Only positive root is meaningful:  x =  = 0.89 in.\r\n" );
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document.write( "Check.  (7+2*0.89)*(3+2*0.89) = 41.97 square inches is close enough to 42 square inches  ---->  ! Correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "If you want to see many other similar solved problems with detailed explanations, 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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