document.write( "Question 1148928: Quilt Dimensions.
\n" ); document.write( "Michelle is making a quilt for a wall hanging at the entrance
\n" ); document.write( "of a state museum. The finished quilt will measure 8 ft by 6
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\n" ); document.write( "area of the interior rectangular section is one half the area of the entire quilt. How wide is the border? \n" ); document.write( "

Algebra.Com's Answer #770259 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "Let \"w\" be the width of the border, now unknown.\r\n" );
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document.write( "The exterior dimensions are  6 ft by 8 feet with the area  48 sq.feet.\r\n" );
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document.write( "The interior dimensions are (8-2w) ft by (6-2w) ft with the area (6-2w)*(8-2w) sq.feet.\r\n" );
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document.write( "We are given\r\n" );
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document.write( "    (6-2w)*(8-2w) =  = 24.\r\n" );
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document.write( "It is your basic equation to find \"w\".\r\n" );
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document.write( "Simplify and solve\r\n" );
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document.write( "    48 - 28w + 4w^2 = 24\r\n" );
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document.write( "    4w^2 - 28w + 24 = 0\r\n" );
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document.write( "     w^2 -  7w + 6w = 0\r\n" );
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document.write( "     (w-1)*(w-6) = 0\r\n" );
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document.write( "Only the root  w = 1 makes sense.\r\n" );
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document.write( "ANSWER.  The width of the border is 1 ft.\r\n" );
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document.write( "CHECK.  (6-2*1)*(8-2*1) = 4*6 = 24 sq.ft, which is half of 48 sq.ft.\r\n" );
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\n" ); document.write( "\n" ); document.write( "To see many other similar solved problems, look into the lesson\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( "in this site.\r
\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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