document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1081279>Question 1081279</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Problem solving questions\r<BR>\n" );
document.write( "\n" );
document.write( "When a square field has 5m added to it's width and 2m added to it's length the area becomes 130m^. Find the original dimensions of the square.\r<BR>\n" );
document.write( "\n" );
document.write( "The hypotenuse of a right angle triangle is 13cm. One side is 7cm longer than the third slide. What are the dimensions of the triangle? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #695303 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=695303\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two separate description & questions given.  Just the first is being done or started here.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x, side of the square field;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B5%29%28x%2B2%29=130 ALIGN=MIDDLE  ALT=\"%28x%2B5%29%28x%2B2%29=130\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B7x%2B10-130=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B7x%2B10-130=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B7x-120=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B7x-120=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Maybe factorable, maybe not...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-7%2B-+sqrt%2849%2B4%2A120%29%29%2F2 ALIGN=MIDDLE  ALT=\"x=%28-7%2B-+sqrt%2849%2B4%2A120%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-7%2B-+sqrt%28529%29%29%2F2 ALIGN=MIDDLE  ALT=\"x=%28-7%2B-+sqrt%28529%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-7%2B-+23%29%2F2 ALIGN=MIDDLE  ALT=\"x=%28-7%2B-+23%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and that would have been factorable, since discriminant 529 is a perfect square...\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x=8 or x=15\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<b>Check both of these values to see</b> if either of them does or does not work according to the description.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "-<BR>\n" );
document.write( "In fact, x=15 DOES NOT work, but x=8 does. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );