document.write( "Question 1073062: You just had a pool installed that has dimensions 10 feet by 24 feet by 4 feet. You want to install a cement patio all the way around the pool that extends the same distance around every side of the pool. A cement truck holds enough cement to cover 810 square feet at a 4-inch depth. If you don't want to have to pay for a second truck, what is the widest you can make the patio around your new pool? \n" ); document.write( "

Algebra.Com's Answer #687902 by ikleyn(52788) $\"\"$ $\"About$

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\n" ); document.write( "You just had a pool installed that has dimensions 10 feet by 24 feet by 4 feet. You want to install a cement patio all the way
\n" ); document.write( "around the pool that extends the same distance around every side of the pool. A cement truck holds enough cement to cover
\n" ); document.write( "810 square feet at a 4-inch depth. If you don't want to have to pay for a second truck,
\n" ); document.write( "what is the widest you can make the patio around your new pool?
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document.write( "The outer dimensions of the patio are (10+2x) feet wide and (24+2x) feet long.\r\n" );
document.write( "The area of this rectangle is (10+2x)*(24+2x) square feet.\r\n" );
document.write( "The area of the pool surface (which obviously is not covered by cement) is 24*10 square feet.\r\n" );
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document.write( "The difference of the areas is the area of the cement patio all the way around the pool. So, this area is\r\n" );
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document.write( "(10+2x)*(24+2x) - 10*24 =  = .\r\n" );
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document.write( "So your equation is\r\n" );
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document.write( " = ,\r\n" );
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document.write( " = 0,\r\n" );
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document.write( " =  = .\r\n" );
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document.write( "The only positive root is x =  = 8.1 ft.\r\n" );
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document.write( "Answer.  The width of the patio is approximately 8.1 ft all the way around the pool.\r\n" );
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document.write( "Check.   (10+2*8.1)*(24+2*8.1) - 10*24 = 813.24 ft^2 which is close enough.\r\n" );
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\n" ); document.write( "\n" ); document.write( "The solution by \"josgaritmetic\" is a) $\"highlight%28WRONG%29\"$ and b) $\"highlight%28ABSURD%29\"$ starting from his very first equation.\r
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\n" ); document.write( "\n" ); document.write( "For many other 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( "    - 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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