document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1201134>Question 1201134</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find an expression that represents (a) the perimeter and (b) the area of each figure. Give answers in simplified form. (Assume all measures are given in appropriate units. \r<BR>\n" );
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document.write( "the image is in google drive of the geometry problem (please i really need help)\r<BR>\n" );
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document.write( "https://drive.google.com/file/d/1soMyK85bSwT9CZE00RdpANa9qN3KR3pM/view?usp=sharing </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #835380 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=835380\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Answers: \r<BR>\n" );
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document.write( "(a) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=perimeter+=+matrix%281%2C2%2C24%2F%28p%5E2%29%2Cunits%29 ALIGN=MIDDLE  ALT=\"perimeter+=+matrix%281%2C2%2C24%2F%28p%5E2%29%2Cunits%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(b) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=area+=+matrix%281%2C3%2C24%2F%28p%5E4%29%2Csquare%2Cunits%29 ALIGN=MIDDLE  ALT=\"area+=+matrix%281%2C3%2C24%2F%28p%5E4%29%2Csquare%2Cunits%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Replace \"units\" with something more meaningful (eg: centimeters) if your teacher requires it.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p+%3C%3E+0 ALIGN=MIDDLE  ALT=\"p+%3C%3E+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > to avoid a division by zero error.\r<BR>\n" );
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document.write( "Explanation:\r<BR>\n" );
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document.write( "Part (a)\r<BR>\n" );
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document.write( "The perimeter is the distance around the exterior.<BR>\n" );
document.write( "It's the amount of fencing you need to enclose the triangle.\r<BR>\n" );
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document.write( "Therefore, we add up the three sides.<BR>\n" );
document.write( "Each is a fraction involving <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5E2 ALIGN=MIDDLE  ALT=\"p%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > in the denominator.<BR>\n" );
document.write( "Meaning we'll add the numerators and set that sum over top the denominator <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5E2 ALIGN=MIDDLE  ALT=\"p%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Recall that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2FC+%2B+B%2FC+=+%28A%2BB%29%2FC ALIGN=MIDDLE  ALT=\"A%2FC+%2B+B%2FC+=+%28A%2BB%29%2FC\"   DISABLED_style= \"max-width:90%; height:auto;\" > when adding fractions of the same denominator.\r<BR>\n" );
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document.write( "Here's how the steps could look to compute the perimeter.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=perimeter+=+side1%2Bside2%2Bside3 ALIGN=MIDDLE  ALT=\"perimeter+=+side1%2Bside2%2Bside3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=perimeter+=+8%2F%28p%5E2%29%2B6%2F%28p%5E2%29%2B10%2F%28p%5E2%29 ALIGN=MIDDLE  ALT=\"perimeter+=+8%2F%28p%5E2%29%2B6%2F%28p%5E2%29%2B10%2F%28p%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=perimeter+=+%288%2B6%2B10%29%2F%28p%5E2%29 ALIGN=MIDDLE  ALT=\"perimeter+=+%288%2B6%2B10%29%2F%28p%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=perimeter+=+24%2F%28p%5E2%29 ALIGN=MIDDLE  ALT=\"perimeter+=+24%2F%28p%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p+%3C%3E+0 ALIGN=MIDDLE  ALT=\"p+%3C%3E+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This is another way to format the steps<BR>\n" );
document.write( "perimeter = side1+side2+side3<BR>\n" );
document.write( "perimeter = 8/(p^2)+6/(p^2)+10/(p^2)<BR>\n" );
document.write( "perimeter = (8+6+10)/(p^2)<BR>\n" );
document.write( "perimeter = 24/(p^2)\r<BR>\n" );
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document.write( "Part (b)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%281%2C4%2Carea%2Cof%2Ca%2Ctriangle%29+=+%281%2F2%29%2Abase%2Aheight ALIGN=MIDDLE  ALT=\"matrix%281%2C4%2Carea%2Cof%2Ca%2Ctriangle%29+=+%281%2F2%29%2Abase%2Aheight\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=area+=+%281%2F2%29%2A%286%2F%28p%5E2%29%29%2A%288%2F%28p%5E2%29%29 ALIGN=MIDDLE  ALT=\"area+=+%281%2F2%29%2A%286%2F%28p%5E2%29%29%2A%288%2F%28p%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=area+=+%281%2A6%2A8%29%2F%282%2Ap%5E2%2Ap%5E2%29 ALIGN=MIDDLE  ALT=\"area+=+%281%2A6%2A8%29%2F%282%2Ap%5E2%2Ap%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=area+=+48%2F%282%2Ap%5E4%29 ALIGN=MIDDLE  ALT=\"area+=+48%2F%282%2Ap%5E4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=area+=+24%2F%28p%5E4%29 ALIGN=MIDDLE  ALT=\"area+=+24%2F%28p%5E4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p+%3C%3E+0 ALIGN=MIDDLE  ALT=\"p+%3C%3E+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Side notes:<ul><li>The base and height of a triangle are ALWAYS perpendicular to one another (i.e. they form a 90 degree angle).</li><li>The base and height are the legs of the right triangle. We ignore the hypotenuse when computing the area.</li><li>The order of base and height doesn't matter.</li><li>For each expression involving the perimeter and area, the value of p cannot be zero. This is to avoid a division by zero error.</li><li>The 6-8-10 right triangle has the property that both area and perimeter are \"24\" when ignoring the units vs square units portions. There are other triangles that have this property as discussed in <a  rel=nofollow HREF= \"https://www.youtube.com/watch?v=UIjeCKPHbso\">this video</a></li></ul><BR>\n" );
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