document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1088469>Question 1088469</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi<BR>\n" );
document.write( "a tent has the shape of a triangular prism with dimensions as follows:base 1.6m side edge 1.4m and perpendicular height 1.2m. Height of the prism is 2.5m\r<BR>\n" );
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document.write( "A  find the area of material needed to make this tent including the floor area. \r<BR>\n" );
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document.write( "B  if the material comes in rolls 3.7m wide what length of material must be purchased so that the tent<BR>\n" );
document.write( "can be made without any joins except those at the edges. \r<BR>\n" );
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document.write( "C   if special joining tape is needed to strengthen each join what length of tape will be needed.\r<BR>\n" );
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document.write( "I solved part A 12.92 sq m but need help with B and C.\r<BR>\n" );
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document.write( "thanks\r<BR>\n" );
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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 #702765 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=702765\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The tent in your problem (if it could exist) would look like this<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28420%2C250%2C-1%2C41%2C-4%2C21%2C%0D%0Agreen%28triangle%288%2C0%2C8%2C12%2C16%2C0%29%29%2C%0D%0Agreen%28rectangle%288%2C0%2C9%2C1%29%29%2C%0D%0Aarrow%288%2C-1%2C0%2C-1%29%2Carrow%288%2C-1%2C16%2C-1%29%2C%0D%0Alocate%287%2C-1%2C1.6m%29%2C%0D%0Aline%280%2C0%2C16%2C0%29%2Cline%2816%2C0%2C39%2C8%29%2C%0D%0Aline%280%2C0%2C8%2C12%29%2Cline%2816%2C0%2C8%2C12%29%2C%0D%0Aline%288%2C12%2C32%2C19%29%2Cline%2832%2C19%2C39%2C8%29%2C%0D%0Alocate%283.3%2C1.5%2C0.8m%29%2Clocate%2810.5%2C1.5%2C0.8m%29%2C%0D%0Alocate%288.2%2C6%2Cgreen%281.2m%29%29%2C%0D%0Alocate%2820%2C15.5%2C2.5m%29%2Clocate%2827.5%2C4%2C2.5m%29%2C%0D%0Alocate%283%2C4.6%2C1.4m%29%2Clocate%2812%2C7%2C1.4m%29%2C%0D%0Alocate%2835.5%2C14.5%2C1.4m%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > . <BR>\n" );
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document.write( "B) As you calculated for part A,<BR>\n" );
document.write( "the material you need is<BR>\n" );
document.write( "a 1.6m by 2.5m rectangle for the floor,<BR>\n" );
document.write( "two 1.4m by 2.5m rectangles for the sides, and<BR>\n" );
document.write( "two isosceles triangles with 1.6m base and 1.2m height for the front and back.<BR>\n" );
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document.write( "You could take some grid paper, cut those shapes with a scale of 0.4m=1grid square, and try to fit them into a drawing of the roll of material.<BR>\n" );
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document.write( "I suspect that you are expected to come up with this (fabric edges in red):<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28500%2C400%2C-1%2C49%2C-2%2C38%2C%0D%0Arectangle%280%2C0%2C16%2C25%29%2Cgreen%28rectangle%288%2C25%2C16%2C37%29%29%2C%0D%0Arectangle%2816%2C0%2C30%2C25%29%2Crectangle%2830%2C0%2C44%2C25%29%2C%0D%0Atriangle%280%2C25%2C16%2C25%2C8%2C37%29%2Ctriangle%2824%2C37%2C16%2C25%2C8%2C37%29%2C%0D%0Ared%28line%28-0.1%2C-0.2%2C49%2C-0.2%29%29%2C%0D%0Ared%28line%28-0.1%2C37.1%2C49%2C37.1%29%29%2C%0D%0Ared%28line%28-0.1%2C-0.2%2C-0.1%2C37.1%29%29%2C%0D%0Alocate%280.3%2C13%2C2.5m%29%2Clocate%287%2C1.5%2C1.6m%29%2C%0D%0Alocate%2836%2C1.5%2C1.4m%29%2Clocate%2822%2C1.5%2C1.4m%29%2C%0D%0Alocate%2836%2C25%2C1.4m%29%2Clocate%2822%2C25%2C1.4m%29%2C%0D%0Alocate%287%2C25%2C1.6m%29%2Clocate%288.3%2C31%2Cgreen%281.2m%29%29%2C%0D%0Alocate%2816.3%2C33%2Cgreen%281.2m%29%29%2Clocate%2811%2C37%2C0.8m%29%2C%0D%0Alocate%2818%2C37%2C0.8m%29%2Clocate%28230.5%2C32%2Cred%28unused%29%29%2C%0D%0Alocate%2836%2C32%2Cred%28fabric%29%29%2Clocate%2830%2C32%2Cred%28unused%29%29%2C%0D%0Alocate%280.6%2C36%2Cred%28wasted%29%29%2Clocate%280.6%2C34.5%2Cred%28scrap%29%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > . As you see, you would need to buy a<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.6m%2B1.4m%2B1.4m=highlight%284.4m%29 ALIGN=MIDDLE  ALT=\"1.6m%2B1.4m%2B1.4m=highlight%284.4m%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > length of material.<BR>\n" );
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document.write( "C) You have three 2.5m seams (two between the tent floor and the sides and one joining both sides at the top of the tent roof.<BR>\n" );
document.write( "Those seaqms would require <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A%282.5m%29=7.5m ALIGN=MIDDLE  ALT=\"3%2A%282.5m%29=7.5m\"   DISABLED_style= \"max-width:90%; height:auto;\" > of \"special joining tape.\"<BR>\n" );
document.write( "You also have 3 seams around the front and 3 around the back triangular pieces.<BR>\n" );
document.write( "That would require <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A%281.6m%2B1.4m%2B1.4m%29=2%2A%284.4m%29=8.8m ALIGN=MIDDLE  ALT=\"2%2A%281.6m%2B1.4m%2B1.4m%29=2%2A%284.4m%29=8.8m\"   DISABLED_style= \"max-width:90%; height:auto;\" > of \"special joining tape.\"<BR>\n" );
document.write( "The total length of  of \"special joining tape\" needed would be<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7.5m%2B8.8m=highlight%2816.3m%29 ALIGN=MIDDLE  ALT=\"7.5m%2B8.8m=highlight%2816.3m%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Your teacher may expect you to do all those calculations in one long equation, such as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A%282.5m%29%2B2%2A%281.6m%2B1.4m%2B1.4m%29=7.5m%2B2%2A%284.4m%29=7.5m%2B8.8m=highlight%2816.3m%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "or maybe doing your calculations steps by step is preferred.<BR>\n" );
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document.write( "NOTES:<BR>\n" );
document.write( "1) You probably have not yet been taught about the Pythagorean theorem.<BR>\n" );
document.write( "If you had learned about it,<BR>\n" );
document.write( "you would know that an isosceles triangle with a base measuring <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.8m ALIGN=MIDDLE  ALT=\"1.8m\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "and a height of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.2m ALIGN=MIDDLE  ALT=\"1.2m\"   DISABLED_style= \"max-width:90%; height:auto;\" > would have leg side lengths <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L ALIGN=MIDDLE  ALT=\"L\"   DISABLED_style= \"max-width:90%; height:auto;\" > such that<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5E2=%280.8m%29%5E2%2B%281.2m%29%5E2=0.64m%5E2%2B1.44m%5E2=2.08m%5E2 ALIGN=MIDDLE  ALT=\"L%5E2=%280.8m%29%5E2%2B%281.2m%29%5E2=0.64m%5E2%2B1.44m%5E2=2.08m%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "and that length would be<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=sqrt%282.08m%29=about1.44m ALIGN=MIDDLE  ALT=\"L=sqrt%282.08m%29=about1.44m\"   DISABLED_style= \"max-width:90%; height:auto;\" >, not 1.4m.<BR>\n" );
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document.write( "2) Knowing a bit more math would allow you to be a bit more creative with part B, such as doing this<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28500%2C400%2C-1%2C49%2C-2%2C38%2C%0D%0Arectangle%280%2C0%2C16%2C25%29%2Cgreen%28rectangle%288%2C25%2C16%2C37%29%29%2C%0D%0Arectangle%2816%2C0%2C41%2C14%29%2Crectangle%2818%2C14%2C43%2C28%29%2C%0D%0Atriangle%280%2C25%2C16%2C25%2C8%2C37%29%2Ctriangle%2824%2C37%2C16%2C25%2C8%2C37%29%2C%0D%0Agreen%28triangle%2824%2C37%2C16%2C37%2C16%2C25%29%29%2C%0D%0Agreen%28triangle%2818%2C28%2C16%2C28%2C16%2C25%29%29%2C%0D%0Ared%28line%28-0.1%2C-0.2%2C49%2C-0.2%29%29%2C%0D%0Ared%28line%28-0.1%2C37.1%2C49%2C37.1%29%29%2C%0D%0Ared%28line%28-0.1%2C-0.2%2C-0.1%2C37.1%29%29%2C%0D%0Alocate%280.3%2C13%2C2.5m%29%2Clocate%287%2C1.5%2C1.6m%29%2C%0D%0Alocate%2816.3%2C8%2C1.4m%29%2Clocate%2818.3%2C22%2C1.4m%29%2C%0D%0Alocate%287%2C25%2C1.6m%29%2Clocate%288.3%2C31%2Cgreen%281.2m%29%29%2C%0D%0Alocate%2816.3%2C33%2Cgreen%281.2m%29%29%2Clocate%2811%2C37%2C0.8m%29%2C%0D%0Alocate%2818%2C37%2C0.8m%29%2Clocate%2825%2C1.5%2C2.5m%29%2C%0D%0Alocate%2827%2C28%2C2.5m%29%2Clocate%2816.5%2C30%2Cgreen%28x%29%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "The large green triangle has a vertical side of length <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.2m ALIGN=MIDDLE  ALT=\"1.2m\"   DISABLED_style= \"max-width:90%; height:auto;\" > and a horizontal side of length <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=green%280.8m%29 ALIGN=MIDDLE  ALT=\"green%280.8m%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "The small green triangle is a scaled down version of the larger one.<BR>\n" );
document.write( "Its vertical side measures<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.4m%2B1.4m-2.5m=2.8m-2.5m=0.3m ALIGN=MIDDLE  ALT=\"1.4m%2B1.4m-2.5m=2.8m-2.5m=0.3m\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "That makes it a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%2F4 ALIGN=MIDDLE  ALT=\"i%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > scale version of the larger green triangle,<BR>\n" );
document.write( "so its horizontal side would measure<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F4%29%2A%28green%280.8m%29%29=green%280.2m%29 ALIGN=MIDDLE  ALT=\"%281%2F4%29%2A%28green%280.8m%29%29=green%280.2m%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "With that arrangement of the tent pieces, the length of fabric you would need to buy would be<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.6m%2Bgreen%280.2m%29%2B2.5m=4.1m ALIGN=MIDDLE  ALT=\"1.6m%2Bgreen%280.2m%29%2B2.5m=4.1m\"   DISABLED_style= \"max-width:90%; height:auto;\" > . </SPAN>\n" );
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