document.write( "Question 479163: What is the area of the net that folds to make this square pyramid?\r
\n" ); document.write( "\n" ); document.write( "Perpendicular Height = 8cm
\n" ); document.write( "Base = 9cm
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Algebra.Com's Answer #328321 by ccs2011(207)\"\" \"About 
You can put this solution on YOUR website!
Basically they are asking for the surface area of this square pyramid.
\n" ); document.write( "\"SA+=+B+%2B+%28P%2Al%29%2F2\"
\n" ); document.write( "where B is area of base, P is perimeter of base, l is slant height.
\n" ); document.write( "Area of base = 9*9 = 81
\n" ); document.write( "Perimeter of base = 4*9 = 36
\n" ); document.write( "Slant height can be found using Pythagorean theorem: \"a%5E2+%2Bb%5E2=c%5E2\"
\n" ); document.write( "where slant height is the hypotenuse, the vertical height is one leg, and half the length of a side of base is other leg.
\n" ); document.write( "\"8%5E2+%2B+4.5%5E2+=+c%5E2\"
\n" ); document.write( "\"64+%2B+20.25+=+c%5E2\"
\n" ); document.write( "\"84.25+=+c%5E2\"
\n" ); document.write( "\"9.179+=+c\"
\n" ); document.write( "Now compute surface area:
\n" ); document.write( "\"SA+=+81+%2B%2836%2A9.179%29%2F2+=+246.22\"
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