document.write( "Question 581438: The area of a regular polygon is 36 square inches. Find the length of a side if the polygon has the given number of sides. Round your answer to the nearest tenth. \r
\n" ); document.write( "\n" ); document.write( "a. 3 b. 4 c. 6\r
\n" ); document.write( "\n" ); document.write( "d. Suppose the polygon is a pentagon. What would you expect the lenght of its side to be? Explain.
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Algebra.Com's Answer #371669 by Alan3354(69443)\"\" \"About 
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The area of a regular polygon is 36 square inches. Find the length of a side if the polygon has the given number of sides. Round your answer to the nearest tenth. \r
\n" ); document.write( "\n" ); document.write( "a. 3 b. 4 c. 6
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\n" ); document.write( "\"Area+=+ns%5E2%2Acot%28180%2Fn%29%2F4\" where n = # of sides & s = side length
\n" ); document.write( "\"s%5E2+=+4%2AArea%2Atan%28180%2Fn%29%2Fn\"
\n" ); document.write( "\"s+=+sqrt%284%2AArea%2Atan%28180%2Fn%29%2Fn%29+=+sqrt%28144%2Atan%28180%2Fn%29%2Fn%29\"
\n" ); document.write( "n = 3: --> s = 9.118 inches
\n" ); document.write( "n = 4: --> s = 6.000 inches
\n" ); document.write( "n = 5: --> s = 4.574 inches
\n" ); document.write( "n = 6: --> s = 3.722 inches\r
\n" ); document.write( "\n" ); document.write( "d. Suppose the polygon is a pentagon. What would you expect the lenght of its side to be?
\n" ); document.write( "It's between the lengths of 4 & 6. As the # of sides increases, the length decreases.
\n" ); document.write( "n = 20 --> s = 1.06788 inches
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