document.write( "Question 7689: Here is the problem. I tried several ways but I'm probably way off.\r
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\n" ); document.write( "\n" ); document.write( "Swimming pool. The length of a rectangular swimming pool is 2x - 1 meters, and the width is x + 2 meters. Write a polynomial that represents the area. Find the area if x is 5 meters. \r
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\n" ); document.write( "\n" ); document.write( "So, this is what I did.\r
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\n" ); document.write( "\n" ); document.write( "(2x - 1)(x + 2)
\n" ); document.write( "(10-1) (5 + 2)
\n" ); document.write( "9 * 7 = 63
\n" ); document.write( "Area = 63 meters\r
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\n" ); document.write( "\n" ); document.write( "OR......\r
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\n" ); document.write( "\n" ); document.write( "(2x - 1)^2(x + 2)^2
\n" ); document.write( "(10-1)^2 (5 + 2)^2\r
\n" ); document.write( "\n" ); document.write( "9^2 * 7^2
\n" ); document.write( "81 * 49\r
\n" ); document.write( "\n" ); document.write( "Area = 3969 meters (I think this one is wrong)\r
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\n" ); document.write( "\n" ); document.write( "OR..... using FOIL\r
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\n" ); document.write( "\n" ); document.write( "(2x -1) (x + 2)\r
\n" ); document.write( "\n" ); document.write( "2x^2 + 4x - x - 2
\n" ); document.write( "2x^2 + 3 - 2
\n" ); document.write( "2x^2 + 1
\n" ); document.write( "2(5)^2 +1
\n" ); document.write( "Area = 51 meters\r
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\n" ); document.write( "\n" ); document.write( "OR....\r
\n" ); document.write( "\n" ); document.write( "Multiplying vertically\r
\n" ); document.write( "\n" ); document.write( " 2x - 1
\n" ); document.write( " x + 2\r
\n" ); document.write( "\n" ); document.write( " 4x - 2
\n" ); document.write( "2x^2 +x\r
\n" ); document.write( "\n" ); document.write( "2x^2 + 5x - 2\r
\n" ); document.write( "\n" ); document.write( "50 + 25 - 2\r
\n" ); document.write( "\n" ); document.write( "Area = 73 meters\r
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\n" ); document.write( "\n" ); document.write( "I tried, please tell me if I'm close. Thanks so much in advance for your help. I really appreciate it. \r
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Algebra.Com's Answer #4236 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
It seems like you went overboard (no pun intended) on your solutions to the swimming pool problem.\r
\n" ); document.write( "\n" ); document.write( "Your first try is your best and is actually correct, to some extent.\r
\n" ); document.write( "\n" ); document.write( "\"Area+=+L%2AW\"
\n" ); document.write( "Since L = 2x-1 and W = x+2, then the area is:\r
\n" ); document.write( "\n" ); document.write( "\"A+=+%282x-1%29%28x%2B2%29\"
\n" ); document.write( "\"A+=+2x%5E2+%2B+3x+-+2\" This the polynomial that represents the area.\r
\n" ); document.write( "\n" ); document.write( "If x = 5, then:\r
\n" ); document.write( "\n" ); document.write( "\"A+=+2%285%29%5E2+%2B+3%285%29+-+2\"
\n" ); document.write( "\"A+=+50+%2B+15+-+2\"
\n" ); document.write( "\"A+=+63+m%5E2\"\r
\n" ); document.write( "\n" ); document.write( "Note that the area is 63 square meters, not meters.
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