document.write( "Question 1053331: A garden is 15 ft by 13 ft. You are building a walkway around this garden that is of
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\n" ); document.write( "area of the garden. Find the width of the walkway. \n" ); document.write( "

Algebra.Com's Answer #668583 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "A garden is 15 ft by 13 ft. You are building a walkway around this garden that is of
\n" ); document.write( "uniform width. The area of the garden and walkway together is 30 less than twice the
\n" ); document.write( "area of the garden. Find the width of the walkway.
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document.write( "Let \"w\" be the width of the walkway. \r\n" );
document.write( "Then the dimensions of the large rectangle are 15+2w and 13+2w.\r\n" );
document.write( "The area of the large rectangle is the product (15+2w)*(13+2w).\r\n" );
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document.write( "The condition says\r\n" );
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document.write( "(15+2w)*(13+2w) = 2*15*13 - 30.\r\n" );
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document.write( "You need to solve this equation for w. Simplify:\r\n" );
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document.write( "15*13 + 30w + 26w + 4w^2 = 2*15*13 - 30,\r\n" );
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document.write( "4w^2 + 56w = 165,\r\n" );
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document.write( "4w^2 + 56w - 165 = 0.\r\n" );
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document.write( "Use the quadratic formula\r\n" );
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document.write( " =  = .\r\n" );
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document.write( " =  =  = 2.5 ft.   (Ignore the negative root).\r\n" );
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document.write( "Answer. 2.5 ft\r\n" );
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\n" ); document.write( "\n" ); document.write( "For more similar solved problems see 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( "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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