document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=565610>Question 565610</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.Essay: Show all work. The area of a rectangular swimming pool is given by 2x^2+x-10 ft^2. One side length of the pool is given by 2x + 5 feet. What is an algebraic expression for the other side length of the pool? Simplify this, and include correct units as part of your answer.\r<BR>\n" );
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document.write( "2.Essay: Show all work. A school designer wants to create a whiteboard with the optimal dimensions to enhance learning. It is determined that if one side of the whiteboard is x + 8y inches, the other side should be x^2-5xy+8y^2inches. Write an algebraic expression for the area of such a whiteboard, simplify it, and include correct units with your solution. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #365970 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=365970\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.The area of a rectangular swimming pool is given by 2x^2+x-10 ft^2.<BR>\n" );
document.write( " One side length of the pool is given by 2x + 5 feet.<BR>\n" );
document.write( " What is an algebraic expression for the other side length of the pool?<BR>\n" );
document.write( " Simplify this, and include correct units as part of your answer.<BR>\n" );
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document.write( "The other side will be the area, divided by the given side<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%5E2%2Bx-10%29%2F%282x%2B5%29 ALIGN=MIDDLE  ALT=\"%282x%5E2%2Bx-10%29%2F%282x%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Factor the numerator<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282x%2B5%29%28x-2%29%29%2F%282x%2B5%29 ALIGN=MIDDLE  ALT=\"%28%282x%2B5%29%28x-2%29%29%2F%282x%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2x+5's cancel leaving you with<BR>\n" );
document.write( "(x-2) ft is the other side<BR>\n" );
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document.write( "A school designer wants to create a whiteboard with the optimal dimensions to enhance learning.<BR>\n" );
document.write( " It is determined that if one side of the whiteboard is x + 8y inches, the other side should be x^2-5xy+8y^2 inches. <BR>\n" );
document.write( "Write an algebraic expression for the area of such a whiteboard, simplify it, and include correct units with your solution.<BR>\n" );
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document.write( "Multiply the two sides to get the area<BR>\n" );
document.write( "x^2 - 5xy + 8y^2<BR>\n" );
document.write( ". . . . . . x + 8y<BR>\n" );
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document.write( "After some tedious math, I got: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3+%2B+3x%5E2y+-+32xy%5E2+%2B+64y%5E3 ALIGN=MIDDLE  ALT=\"x%5E3+%2B+3x%5E2y+-+32xy%5E2+%2B+64y%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > sq/ft, you better check this yourself </SPAN>\n" );
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