document.write( "Question 199777: Area of a parallelogram
\n" ); document.write( "Find a trinomial A(x) that represents the area of a parallelogram whose base is 3x + 2 meters and whose height is 2x + 3 meters. Find A(3).
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Algebra.Com's Answer #150144 by jim_thompson5910(35256)\"\" \"About 
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Area of a parallelogram: \r
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\n" ); document.write( "\n" ); document.write( "Area = Base * Height ----> A = bh\r
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\n" ); document.write( "\n" ); document.write( "\"A=bh\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "\"A=%283x%2B2%29%282x%2B3%29\" Plug in \"b=3x%2B2\" and \"h=2x%2B3\" (the given base and height)\r
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\n" ); document.write( "\n" ); document.write( "\"A=%283x%29%282x%29%2B%283x%29%283%29%2B%282%29%282x%29%2B%282%29%283%29\" FOIL\r
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\n" ); document.write( "\n" ); document.write( "\"A=6x%5E2%2B9x%2B4x%2B6\" Multiply\r
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\n" ); document.write( "\n" ); document.write( "\"A=6x%5E2%2B13x%2B6\" Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "So the trinomial for the area is \"A%28x%29=6x%5E2%2B13x%2B6\"\r
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\n" ); document.write( "\n" ); document.write( "Now let's find A(3).\r
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\n" ); document.write( "\n" ); document.write( "\"A%28x%29=6x%5E2%2B13x%2B6\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "\"A%283%29=6%283%29%5E2%2B13%283%29%2B6\" Plug in \"x=3\".\r
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\n" ); document.write( "\n" ); document.write( "\"A%283%29=6%289%29%2B13%283%29%2B6\" Square \"3\" to get \"9\".\r
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\n" ); document.write( "\n" ); document.write( "\"A%283%29=54%2B13%283%29%2B6\" Multiply \"6\" and \"9\" to get \"54\".\r
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\n" ); document.write( "\n" ); document.write( "\"A%283%29=54%2B39%2B6\" Multiply \"13\" and \"3\" to get \"39\".\r
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\n" ); document.write( "\n" ); document.write( "\"A%283%29=99\" Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "If you have any questions, email me at jim_thompson5910@hotmail.com.
\n" ); document.write( "Check out my website if you are interested in tutoring.
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