document.write( "Question 1189225: A pool is twice as long as it is wide and is surrounded by a walkway of uniform width of 1 foot. The combined area of the pool and the walkway is 400 square feet.\r
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Algebra.Com's Answer #820531 by ikleyn(52787) $\"\"$ $\"About$

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\n" ); document.write( "A pool is twice as long as it is wide and is surrounded by a walkway of uniform width of 1 foot.
\n" ); document.write( "The combined area of the pool and the walkway is 400 square feet.
\n" ); document.write( "Find the dimensions of the pool and the area of the pool.
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\n" ); document.write( "\n" ); document.write( " The starting equation, its solution and the answer all are incorrect in the post by @josgarithmetic.\r
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\n" ); document.write( "\n" ); document.write( " I came to bring a correct solution.\r
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document.write( "Dimensions of the pool, 2x and x\r\n" );
document.write( "Pool upper surface's area, 2x^2\r\n" );
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document.write( "Dimensions for the OUTER part of bordering walkway , 2x+2 and x+2\r\n" );
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document.write( "The combined area of the pool and the walkway is 400 square feet.\r\n" );
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document.write( "    (2x+2)(x+2) = 400\r\n" );
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document.write( "    ( x+1)*(x+2) = 200\r\n" );
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document.write( "    x^2+3x+2 = 200\r\n" );
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document.write( "    x^2 + 3x - 198 = 0\r\n" );
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document.write( "    x = \r\n" );
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document.write( "    x = \r\n" );
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document.write( "    x = \r\n" );
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document.write( "    x = 12.651--------the width\r\n" );
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document.write( "    2*12.651 = 25.30-------the length\r\n" );
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document.write( "CHECK.  (25.30+2)*(12.651+2) = 400 square feet.\r\n" );
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document.write( "ANSWER.  The dimensions of the pool are 12.651 ft and 25.30 ft.\r\n" );
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document.write( "         The area of the pool is 12.651*25.30 = 320 square feet.\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( "    - 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
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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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