document.write( "Question 1199114: A landscaper, who just completed a rectangular flower garden measuring 6 feet by 10 feet, orders 1 cubic yard of premixed cement, all of which is to be used to create a border of uniform width around the garden. If the border is to have a depth of 3 inches, how wide will the border be?\r
\n" ); document.write( "\n" ); document.write( "Without going into too much detail, in this website I found that someone answered the question by coming up with the following equation:\r
\n" ); document.write( "\n" ); document.write( "(2x + 6) (2x + 10) = 168\r
\n" ); document.write( "\n" ); document.write( "Let x = width of the border.\r
\n" ); document.write( "\n" ); document.write( "My question is:\r
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Algebra.Com's Answer #832814 by ikleyn(52810) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( " Below I will explain you on how to set up an equation to this problem.\r
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document.write( "The area of the large rectangle (the garden plus the walkway around the garden) is (2x+6)*(2x+10)  square feet.\r\n" );
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document.write( "The area of the garden itself is  6*10 = 60 square feet.\r\n" );
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document.write( "The area of the walkway is the difference  (2x+6)*(2x+10) - 60 square feet.\r\n" );
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document.write( "The volume of 1 cubic yards, converted to cubic feet is   = 27 cubic feet.\r\n" );
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document.write( "When laid on the level ground with the thickness of 3 inches =  of a foot,\r\n" );
document.write( "1 cubic yard covers the area   = 27*4 = 108 square feet.\r\n" );
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document.write( "So, 108 square feet is the area, which should be in the right side of this equation\r\n" );
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document.write( "    (2x+6)*(2x+10) - 60 = 108.\r\n" );
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document.write( "Both sides of this equation represent the same quantity: the area of the walkway.\r\n" );
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document.write( "It leads to the equation\r\n" );
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document.write( "    (2x +6)*(2x+10) = 168.\r\n" );
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document.write( "It is exactly the equation you asked about.\r\n" );
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document.write( "In the original solution under this link\r\n" );
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document.write( "https://www.algebra.com/algebra/homework/word/geometry/Geometry_Word_Problems.faq.question.1126574.html\r\n" );
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document.write( "the tutor obtained the same equation in another way (as the area of the large rectangle \"the garden + the walkway\").\r\n" );
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\r
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\n" ); document.write( "\n" ); document.write( "        After completing the setup, the solution goes on the way
\n" ); document.write( "                    shown by the tutor under the cited link.\r
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\n" ); document.write( "\n" ); document.write( "To see many similar solved problems, see 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( "    - Making a box from a piece of cardboard \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 lessons are 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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