document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1194251>Question 1194251</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In the regular pentagonal pyramid, each lateral edge measures 11 in., and each base edge measures 7 in. The apothem of the base measures 4.8 in.\r<BR>\n" );
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document.write( "Find the lateral area (in square inches) of the pyramid.<BR>\n" );
document.write( "Find the total area (in square inches) of the pyramid. </SPAN>\n" );
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document.write( "n = number of sides in the base = 5<BR>\n" );
document.write( "x = length of each side = 7\r<BR>\n" );
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document.write( "A = area of a regular polygon with n sides<BR>\n" );
document.write( "A = (perimeter)*(apothem)/2<BR>\n" );
document.write( "A = (x*n)*(apothem)/2<BR>\n" );
document.write( "A = (7*5)*(4.8)/2<BR>\n" );
document.write( "A = 84 square inches\r<BR>\n" );
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document.write( "The pentagonal floor has an area of 84 square inches.\r<BR>\n" );
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document.write( "Each lateral edge measures 11 inches, which I'm assuming is the slant height of each triangular face.<BR>\n" );
document.write( "This would mean the triangles have a base of 7 and height of 11.<BR>\n" );
document.write( "area = base*height/2 <BR>\n" );
document.write( "area = 7*11/2<BR>\n" );
document.write( "area = 38.5<BR>\n" );
document.write( "Each triangular face has an area of 38.5 square inches.<BR>\n" );
document.write( "Five such identical faces gives a lateral area of 5*38.5 = 192.5 square inches.\r<BR>\n" );
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document.write( "Add this to the base pentagonal area to get the total surface area<BR>\n" );
document.write( "84+192.5 = 276.5\r<BR>\n" );
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document.write( "Answers:<BR>\n" );
document.write( "Lateral Area = 192.5 square inches<BR>\n" );
document.write( "Total Surface Area = 276.5 square inches<BR>\n" );
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