document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1110789>Question 1110789</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Lets say you are building a wooden frame for a rhombus shaped mirror. The mirror has diagonals with lengths of 10 inches and 24 inches. How much wood is needed to build the frame? The wood costs $1.14 per foot. How much will you spend on wood to build the frame? When you build the frame, the four sides will connect at four corners. What angle measures will be created at these four corners? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #725812 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=725812\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Here is a sketch of what the mirror and its diagonals would look like<BR>\n" );
document.write( "(with lengths in inches).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C650%2C-6%2C6%2C-13%2C13%2C%0D%0Agreen%28triangle%28-5%2C0%2C5%2C0%2C0%2C12%29%29%2C%0D%0Agreen%28triangle%28-5%2C0%2C0%2C-12%2C0%2C12%29%29%2C%0D%0Agreen%28rectangle%28-0.3%2C-0.3%2C0.3%2C0.3%29%29%2C%0D%0Aline%28-5%2C0%2C0%2C12%29%2Cline%280%2C12%2C5%2C0%29%2C%0D%0Aline%285%2C0%2C0%2C-12%29%2Cline%280%2C-12%2C-5%2C0%29%2C%0D%0Alocate%28-2.7%2C0%2Cgreen%285%29%29%2Clocate%282.3%2C0%2Cgreen%285%29%29%2C%0D%0Alocate%280.1%2C6.5%2Cgreen%2812%29%29%2Clocate%280.1%2C-5.5%2Cgreen%2812%29%29%2C%0D%0Alocate%28-2.5%2C6%2Cside%29%2C%0D%0Ared%28arc%285%2C0%2C4%2C4%2C180%2C247.38%29%29%2C%0D%0Alocate%283.5%2C1%2Cred%28A%29%29%2C%0D%0Ared%28arc%280%2C12%2C4%2C4%2C67.38%2C90%29%29%2C%0D%0Alocate%280.2%2C10.7%2Cred%28B%29%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > As per Pythagorean theorem, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=side=sqrt%2812%5E2%2B5%5E2%29=sqrt%28144%2B25%29=sqrt%28169%29=13 ALIGN=MIDDLE  ALT=\"side=sqrt%2812%5E2%2B5%5E2%29=sqrt%28144%2B25%29=sqrt%28169%29=13\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "The first part of the answer to the math problem is that<BR>\n" );
document.write( "the length of wood frame material you need is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2A13inches=highlight%2852inches%29 ALIGN=MIDDLE  ALT=\"4%2A13inches=highlight%2852inches%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( " <BR>\n" );
document.write( "If you can buy exactly <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=52inches ALIGN=MIDDLE  ALT=\"52inches\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22=%22 ALIGN=MIDDLE  ALT=\"%22=%22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%261%2F3 ALIGN=MIDDLE  ALT=\"4%261%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ft ALIGN=MIDDLE  ALT=\"ft\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22=%22 ALIGN=MIDDLE  ALT=\"%22=%22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%224+ft+4+inches%22 ALIGN=MIDDLE  ALT=\"%224+ft+4+inches%22\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "it would cost <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2852inches%29%2A%281ft%2F%2212inches%22%29%2A%28%22%241.14%22%2F%221+ft%22%29=%22%244.94%22 ALIGN=MIDDLE  ALT=\"%2852inches%29%2A%281ft%2F%2212inches%22%29%2A%28%22%241.14%22%2F%221+ft%22%29=%22%244.94%22\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "However, if you cannot buy that exact length<BR>\n" );
document.write( "because the framing material is sold by the foot,<BR>\n" );
document.write( "in whole-number lengths only,<BR>\n" );
document.write( "you would need to buy <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5ft ALIGN=MIDDLE  ALT=\"5ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > of framing, <BR>\n" );
document.write( "and that would cost <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5ft%2A%28%22%241.14%22%2F%221+ft%22%29=%22%245.70%22 ALIGN=MIDDLE  ALT=\"5ft%2A%28%22%241.14%22%2F%221+ft%22%29=%22%245.70%22\"   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=tan%28red%28A%29%29=12%2F5=2.4 ALIGN=MIDDLE  ALT=\"tan%28red%28A%29%29=12%2F5=2.4\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=red%28A%29=67.38%5Eo ALIGN=MIDDLE  ALT=\"red%28A%29=67.38%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=red%28B%29=90%5Eo-red%28A%29=90%5Eo-67.38%5Eo=22.62%5Eo ALIGN=MIDDLE  ALT=\"red%28B%29=90%5Eo-red%28A%29=90%5Eo-67.38%5Eo=22.62%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Those are the angles you would use for cutting the ends of the framing pieces.<BR>\n" );
document.write( "The angles at the corners of the glass part of the mirror,<BR>\n" );
document.write( "and at the corners of the finished framed mirror are<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Ared%28A%29=2%2A67.38%5Eo=highlight%28134.76%5Eo%29 ALIGN=MIDDLE  ALT=\"2%2Ared%28A%29=2%2A67.38%5Eo=highlight%28134.76%5Eo%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Ared%28b%29=2%2A22.62%5Eo=highlight%2845.24%5Eo%29 ALIGN=MIDDLE  ALT=\"2%2Ared%28b%29=2%2A22.62%5Eo=highlight%2845.24%5Eo%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > . </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );