document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1078574>Question 1078574</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the lateral area and the total area of the regular square base pyramid with an altitude of 24 and a slant height of 25. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #693289 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=693289\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The lateral area and total area would require knowing the size of that square base.<BR>\n" );
document.write( "The problem does not provide that information directly,<BR>\n" );
document.write( "but the length, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s ALIGN=MIDDLE  ALT=\"s\"   DISABLED_style= \"max-width:90%; height:auto;\" > , of the base sides<BR>\n" );
document.write( "can be calculated from the information given.<BR>\n" );
document.write( "A top view, and a cross section of the pyramid<BR>\n" );
document.write( "(cutting across the middle of opposite lateral faces)<BR>\n" );
document.write( "would look like square and the isosceles triangle below<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C350%2C-16.5%2C15.5%2C-2%2C26%2C%0D%0Agreen%28triangle%28-8%2C7%2C-15%2C7%2C-15%2C0%29%29%2C%0D%0Atriangle%28-1%2C0%2C-15%2C14%2C-15%2C0%29%2C%0D%0Atriangle%28-1%2C14%2C-15%2C14%2C-15%2C0%29%2C%0D%0Arectangle%28-1%2C0%2C-15%2C14%29%2C%0D%0Agreen%28triangle%288%2C24%2C8%2C0%2C1%2C0%29%29%2C%0D%0Agreen%28rectangle%287.5%2C0.5%2C8%2C0%29%29%2C%0D%0Atriangle%288%2C24%2C15%2C0%2C1%2C0%29%2C%0D%0Alocate%288.2%2C11%2Cgreen%2824%29%29%2C%0D%0Alocate%28-16%2C8%2CA%29%2Clocate%28-8.3%2C6.5%2CB%29%2C%0D%0Alocate%28-8.3%2C8.5%2CC%29%2Clocate%280.5%2C0%2CA%29%2C%0D%0Alocate%287.7%2C0%2CB%29%2Clocate%287.7%2C25%2CC%29%2C%0D%0Alocate%284.5%2C12%2C25%29%2C%0D%0Alocate%28-13%2C7%2Cgreen%28%22s+%2F+2%22%29%29%2C%0D%0Alocate%284%2C1.3%2Cgreen%28%22s+%2F+2%22%29%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Applying the Pythagorean theorem to right triangle ABC,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28s%2F2%29%5E2%2B24%5E2=25%5E2 ALIGN=MIDDLE  ALT=\"%28s%2F2%29%5E2%2B24%5E2=25%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28s%2F2%29%5E2%2B576=625 ALIGN=MIDDLE  ALT=\"%28s%2F2%29%5E2%2B576=625\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28s%2F2%29%5E2=625-576 ALIGN=MIDDLE  ALT=\"%28s%2F2%29%5E2=625-576\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28s%2F2%29%5E2=49 ALIGN=MIDDLE  ALT=\"%28s%2F2%29%5E2=49\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%2F2=7 ALIGN=MIDDLE  ALT=\"s%2F2=7\"   DISABLED_style= \"max-width:90%; height:auto;\" >  --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=14 ALIGN=MIDDLE  ALT=\"s=14\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "The <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" > lateral faces are triangles with base <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=14 ALIGN=MIDDLE  ALT=\"s=14\"   DISABLED_style= \"max-width:90%; height:auto;\" > and height <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25 ALIGN=MIDDLE  ALT=\"25\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "so the lateral area is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2A%2814%2A25%2F2%29=highlight%28700%29 ALIGN=MIDDLE  ALT=\"4%2A%2814%2A25%2F2%29=highlight%28700%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > square units<BR>\n" );
document.write( "(of whatever units was used to measure pyramid height and slant height).<BR>\n" );
document.write( "The area of the square base is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14%5E2=196 ALIGN=MIDDLE  ALT=\"14%5E2=196\"   DISABLED_style= \"max-width:90%; height:auto;\" > square units,<BR>\n" );
document.write( "so the total area (in square units) is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=700%2B196=highlight%28896%29 ALIGN=MIDDLE  ALT=\"700%2B196=highlight%28896%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > square units. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );