document.write( "Question 1180912: A pool is in the shape of a regular polygon. Each interior angle of the pool is four times larger than its exterior angle. If the length of each side of the pool is 1.8m, determine the perimeter of the pool. \n" ); document.write( "
Algebra.Com's Answer #810729 by ankor@dixie-net.com(22740)\"\" \"About 
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A pool is in the shape of a regular polygon.
\n" ); document.write( " Each interior angle of the pool is four times larger than its exterior angle.
\n" ); document.write( " If the length of each side of the pool is 1.8m, determine the perimeter of the pool.
\n" ); document.write( ":
\n" ); document.write( "Int Angle = (180n-360)/n, where n = no. of sides
\n" ); document.write( "Ext Angle = 360/n
\n" ); document.write( "\"Each interior angle of the pool is four times larger than its exterior angle.\"
\n" ); document.write( "(180n-360/n = 4(360/n)
\n" ); document.write( "multiply both sides by n
\n" ); document.write( "180n - 360 = 1440
\n" ); document.write( "180n = 1440 + 360
\n" ); document.write( "180n = 1800
\n" ); document.write( "n = 1800/180
\n" ); document.write( "n = 10
\n" ); document.write( "10 sides
\n" ); document.write( "Find the perimeter
\n" ); document.write( "10 * 1.8 = 18 meters
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