document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1107707>Question 1107707</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Jack is mowing a lawn that has a shed. Jack wants to know the area of the lawn he has to mow. Dimensions of the yard are length 5x width 13x-4. The dimensions of the shed are length 2x width 2x+4. Find a polynomial that describes the area of the lawn he has to mow. (i.e find the area of the yard minus the area of the shed.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #722762 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=722762\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the area of the yard is (5x) * (13x-4) = 65x^2 - 20x.\r<BR>\n" );
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document.write( "the area of the shed is (2x) * (2x+4) = 4x^2 - 8x.\r<BR>\n" );
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document.write( "the area of the yard minus the area of the shed is 65x^2 - 20x - 4x^2 - 8x.\r<BR>\n" );
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document.write( "combine like terms to get 61x^2 - 28x.\r<BR>\n" );
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document.write( "that's the polynomial that represents the area of the yard that needs to be mowed.\r<BR>\n" );
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document.write( "to test this out, replace x with a random value and solve both the original equation and the final equation to see if you get the same answer.\r<BR>\n" );
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document.write( "i let x = 5.\r<BR>\n" );
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document.write( "the final equation of 61x^2 - 28x becomes 61*5^2 - 28*5 = 1385 square units.\r<BR>\n" );
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document.write( "the original equation gets me (5x) * (13x-4) - (2x) * (2x+4) becomes (5*5) * (13*5-4) - (2*5) * (2*5+4).\r<BR>\n" );
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document.write( "this results in 1385 square units.\r<BR>\n" );
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document.write( "the answer is the same which indicates that the original equaiton and the final equation are identical.\r<BR>\n" );
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document.write( "this confirms the solution is good.\r<BR>\n" );
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document.write( "the solution is that your polynmoial that represents the area that needs to be mowed is 61x^2 - 28x.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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