document.write( "Question 578222: how do you find the number of sides in a regular n-gon with these given facts
\n" ); document.write( "each side = 4.8 cm, apothem=7.4, and area = 177.6cm sqd \n" ); document.write( "

Algebra.Com's Answer #370571 by Edwin McCravy(20055) $\"\"$ $\"About$

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document.write( "The formula for the area of a regular polygon\r\n" );
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document.write( "A = ap, where a = the apothem, and p = perimeter.\r\n" );
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document.write( "There are n sides and each side is 4.8 cm so the perimeter is 4.8n,\r\n" );
document.write( "The area is gives as 177.6 cm², and the apothem 7.4 cm.  Substituting\r\n" );
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document.write( "    A = ap\r\n" );
document.write( "177.6 = (7.4)(4.8n)\r\n" );
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document.write( "177.6 = 17.76n\r\n" );
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document.write( " = n\r\n" );
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document.write( "   10 = n\r\n" );
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document.write( "There are 10 sides.\r\n" );
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document.write( "Edwin

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