document.write( "Question 775460: Ali paints with watercolors on a sheet of paper 20in. wide by 15in. high. He then places this sheet on a mat so that a uniformly wide strip of the mat shows all around the picture. The perimeter of the mat is 102 inches. How wide is the strip of mat around the picture? \n" ); document.write( "
Algebra.Com's Answer #472930 by ankor@dixie-net.com(22740)\"\" \"About 
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a sheet of paper 20in. wide by 15in. high.
\n" ); document.write( " He then places this sheet on a mat so that a uniformly wide strip of the mat shows all around the picture.
\n" ); document.write( " The perimeter of the mat is 102 inches.
\n" ); document.write( " How wide is the strip of mat around the picture?
\n" ); document.write( ":
\n" ); document.write( "Let x = the width of the strip
\n" ); document.write( "Then the mat will be: (2x+20) by (2x+15)
\n" ); document.write( ":
\n" ); document.write( "The perimeter
\n" ); document.write( "2(2x+20) + 2(2x+15) = 102
\n" ); document.write( "simplify, divide both sides by 2
\n" ); document.write( "(2x + 20) + (2x + 15) = 51
\n" ); document.write( "4x + 35 = 51
\n" ); document.write( "4x = 51 - 35
\n" ); document.write( "4x = 16
\n" ); document.write( "x = 16/4
\n" ); document.write( "x = 4 in the width of the strip
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