document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1146434>Question 1146434</A>: <I><SPAN STYLE=\"word-break: break-all;\">  If the altitude and base of a parallelogram are increase by 5 inches, the area will increase by 50 sq. inches. If the altitude is increased by 3 inches and the base is decreased by 2 inches, the area will increase by 5 sq. inches. Determine the original value of the base of the parallelogram.\r<BR>\n" );
document.write( "\n" );
document.write( "a. 3.2 inches ​ ​ ​ ​c. 3.8 inches <BR>\n" );
document.write( "b. 4.2 inches ​ ​ ​ ​d. 5.2 inches<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #767686 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=767686\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If we call our variables<BR>\n" );
document.write( "h=altitude of the parallelogram (in inches), and<BR>\n" );
document.write( "b=base of the parallelogram (in inches),<BR>\n" );
document.write( "the original parallelogram area (in square inches), is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%2Ah ALIGN=MIDDLE  ALT=\"b%2Ah\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "\"If the altitude and base of a parallelogram are increased by 5 inches, the area will increase by 50 sq. inches\" translates to<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28b%2B5%29%28h%2B5%29=b%2Ah%2B50 ALIGN=MIDDLE  ALT=\"%28b%2B5%29%28h%2B5%29=b%2Ah%2B50\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "That simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%2Ah%2B5b%2B5h%2B25=b%2Ah%2B50 ALIGN=MIDDLE  ALT=\"b%2Ah%2B5b%2B5h%2B25=b%2Ah%2B50\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%285b%2B5h=25%29 ALIGN=MIDDLE  ALT=\"highlight%285b%2B5h=25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "\"If the altitude is increased by 3 inches and the base is decreased by 2 inches, the area will increase by 5 sq. inches\" translates to<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28b-2%29%28h%2B3%29=b%2Ah%2B5 ALIGN=MIDDLE  ALT=\"%28b-2%29%28h%2B3%29=b%2Ah%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "That simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%2Ah%2B3b-2h-6=b%2Ah%2B5 ALIGN=MIDDLE  ALT=\"b%2Ah%2B3b-2h-6=b%2Ah%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%283b-2h=11%29 ALIGN=MIDDLE  ALT=\"highlight%283b-2h=11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Then, it is a question of solving the system of equations<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%285b%2B5h=25%2C3b-2h=11%29 ALIGN=MIDDLE  ALT=\"system%285b%2B5h=25%2C3b-2h=11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h ALIGN=MIDDLE  ALT=\"h\"   DISABLED_style= \"max-width:90%; height:auto;\" > . </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );