document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=78608>Question 78608</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0073268623/algebrahomeworkh>Elementary and Intermediate Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A rectangular painting with a width of x centimeters has an area of x^2+50x square centimeters.  Find a binomial that represents the length.   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #56375 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=56375\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The formula for the area of a rectangle is A = L*W in which A represents the Area, L is the<BR>\n" );
document.write( "Length and W is the width.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "The problem states that the Area is given by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+50x ALIGN=MIDDLE  ALT=\"x%5E2+%2B+50x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the Width is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Substitute these two values into the area formula and you get:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+50x+=+L%2Ax ALIGN=MIDDLE  ALT=\"x%5E2+%2B+50x+=+L%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "To solve for L, divide both sides of this equation by x, the multiplier of L and you get:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2+%2B+50x%29%2Fx+=+L ALIGN=MIDDLE  ALT=\"%28x%5E2+%2B+50x%29%2Fx+=+L\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Divide the x of the denominator into each of the two terms in the parentheses and the<BR>\n" );
document.write( "result is:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Fx+%2B+50x%2Fx+=+L ALIGN=MIDDLE  ALT=\"x%5E2%2Fx+%2B+50x%2Fx+=+L\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "recall that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+=+x%2Ax ALIGN=MIDDLE  ALT=\"x%5E2+=+x%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" > so dividing x^2 by x is the same as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Ax%2Fx ALIGN=MIDDLE  ALT=\"x%2Ax%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the x<BR>\n" );
document.write( "in the denominator cancels with one of the x's in the numerator.  So the result is of<BR>\n" );
document.write( "this division is just x.  Similarly, when you divide <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50x ALIGN=MIDDLE  ALT=\"50x\"   DISABLED_style= \"max-width:90%; height:auto;\" > by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > the x in the <BR>\n" );
document.write( "denominator cancels the x in the numerator.  Therefore, this division just results in<BR>\n" );
document.write( "50.  So when these divisions are performed the equation simplifies to:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+50+=+L ALIGN=MIDDLE  ALT=\"x+%2B+50+=+L\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "and this is the binomial you were asked to find:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+x+%2B+50 ALIGN=MIDDLE  ALT=\"L+=+x+%2B+50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "and when you solve for L, don't forget that the answer is in centimeters.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Hope this helps you to understand the problem a little better.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );