document.write( "Question 1190012: The resort you work for has a rectangular pool that is 25 m by 14 m. They are installing a new deck of
\n" ); document.write( "uniform width around the pool. When the deck is complete the total are of the pool and deck will be
\n" ); document.write( "580 m2
\n" ); document.write( "How wide is the deck (from pool to edge), ie. The uniform width? \n" ); document.write( "

Algebra.Com's Answer #821582 by ikleyn(52798) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "The resort you work for has a rectangular pool that is 25 m by 14 m. They are installing a new deck of
\n" ); document.write( "uniform width around the pool. When the deck is complete the total are of the pool and deck will be
\n" ); document.write( "580 m2
\n" ); document.write( "How wide is the deck (from pool to edge), ie. The uniform width?
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\n" ); document.write( "\n" ); document.write( " The solution and the answer in the post by @Boreal are incorrect.\r
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\n" ); document.write( "\n" ); document.write( " So I came to bring a correct solution.\r
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document.write( "After installing the deck of uniform wide x, the outer dimensions are (25+2x) by (14+2x) meters.\r\n" );
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document.write( "So, the area equation is\r\n" );
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document.write( "    (25+2x)*(14+2x) = 580  square meters.\r\n" );
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document.write( "Simplify this equation; reduce it to the standard form quadratic equation and find the solution\r\n" );
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document.write( "    350 + 28x + 50x + 4x^2 = 580\r\n" );
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document.write( "    4x^2 + 78x - 230 = 0\r\n" );
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document.write( "    2x^2 + 39x - 115 = 0\r\n" );
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document.write( "     =  =  = .\r\n" );
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document.write( "Of the two roots, only positive one is the solution  x = 2.602 meters  (2.6 meters, approximately).\r\n" );
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document.write( "ANSWER.  The deck around has uniform width of 2.6 meters.\r\n" );
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\n" ); document.write( "\n" ); document.write( "If you want 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( "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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