document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1065139>Question 1065139</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello! I need help with this question please! I do not understand.\r<BR>\n" );
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document.write( "There are two square workout mats at a gym.\r<BR>\n" );
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document.write( "a.  Let x represent the length of the larger mat, and let y represent the length of the smaller mat. Write a binomial that represents how much more area the larger mat has than the smaller mat.\r<BR>\n" );
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document.write( "b.  factor the binomial for the difference in the mat areas. Interpret what the factors could mean in this context.\r<BR>\n" );
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document.write( "c.  One mat has 4 times the area of the other mat. Use this to rewrite the binomial from part a using only the variable y.\r<BR>\n" );
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document.write( "Thank you in advance!!<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #680242 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=680242\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >= length of the side of the larger square workout mat<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >= length of the side of the smaller square workout mat<BR>\n" );
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document.write( "a. We calculate the surface area of each mat<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Ax=x%5E2 ALIGN=MIDDLE  ALT=\"x%2Ax=x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >= surface area of the larger square workout mat<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2Ay=y%5E2 ALIGN=MIDDLE  ALT=\"y%2Ay=y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >= surface area of the smaller square workout mat<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x%5E2-y%5E2%29 ALIGN=MIDDLE  ALT=\"highlight%28x%5E2-y%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >= binomial that represents how much more area the larger mat has than the smaller mat.<BR>\n" );
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document.write( "b. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x%5E2-y%5E2=%28x%2By%29%2A%28x-y%29%29 ALIGN=MIDDLE  ALT=\"highlight%28x%5E2-y%5E2=%28x%2By%29%2A%28x-y%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the factoring<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2By%29 ALIGN=MIDDLE  ALT=\"%28x%2By%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > means the sum of the side lengths of the two mats<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-y%29 ALIGN=MIDDLE  ALT=\"%28x-y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > means the difference of the side lengths of the two mats<BR>\n" );
document.write( "Here is how to visualize those factors with the mats placed side by side.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C300%2C-0.5%2C7.5%2C-0.8%2C5.2%2C%0D%0Arectangle%280%2C0%2C5%2C4.95%29%2C%0D%0Ared%28rectangle%285.05%2C0%2C7%2C2%29%29%2C%0D%0Alocate%280.07%2C2.8%2Cx%29%2Clocate%282.3%2C0.3%2Cx%29%2C%0D%0Alocate%282.1%2C2.9%2Clarger%29%2Clocate%282.3%2C2.5%2Cmat%29%2C%0D%0Alocate%285.5%2C1.4%2Cred%28smaller%29%29%2Clocate%285.8%2C1%2Cred%28mat%29%29%2C%0D%0Alocate%285.07%2C1.2%2Cred%28y%29%29%2Clocate%285.9%2C0.35%2Cred%28y%29%29%2C%0D%0Aarrow%283%2C-0.4%2C0%2C-0.4%29%2Carrow%284%2C-0.4%2C7%2C-0.4%29%2C%0D%0Alocate%283.15%2C-0.25%2C%28x%2By%29%29%2Clocate%285.1%2C3.65%2C%28x-y%29%29%2C%0D%0Aarrow%285.45%2C3.7%2C5.45%2C5%29%2Carrow%285.45%2C3.3%2C5.45%2C2%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "c. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=4y%5E2 ALIGN=MIDDLE  ALT=\"x%5E2=4y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > says that the larger mat has 4 times the area of the other mat.<BR>\n" );
document.write( "Substituting <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4y%5E2 ALIGN=MIDDLE  ALT=\"4y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > in the binomial expression <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-y%5E2 ALIGN=MIDDLE  ALT=\"x%5E2-y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "we get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4y%5E2-y%5E2=highlight%283y%5E2%29 ALIGN=MIDDLE  ALT=\"4y%5E2-y%5E2=highlight%283y%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > . </SPAN>\n" );
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