document.write( "Question 1013632: To start the construction o a rest house. the engineer advice his foreman to erect five pegs to establish the perimeter (outside) of the floor plan, which is in the shape of regular pentagon. The desired area of the floor plan is 80 meter squared. Find the length of the string needed in the layout. Consider that 5% is accounted for tying. \n" ); document.write( "

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To start the construction o a rest house. the engineer advice his foreman to erect five pegs to establish the perimeter (outside) of the floor plan, which is in the shape of regular pentagon. The desired area of the floor plan is 80 meter squared. Find the length of the string needed in the layout. Consider that 5% is accounted for tying.
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\n" ); document.write( "Find the side of a regular pentagon with area = 80 sq meters
\n" ); document.write( " $\"Area+=+ns%5E2%2Acot%28180%2Fn%29%2F4\"$ where n = # of sides and s = side length
\n" ); document.write( " $\"80+=+5s%5E2%2Acot%2836%29%2F4\"$
\n" ); document.write( " $\"s%5E2+=+80%2A4%2Atan%2836%29%2F5+=+64%2Atan%2836%29\"$
\n" ); document.write( "s =~ 6.819 meters
\n" ); document.write( "P = 5s = 34.095 meters
\n" ); document.write( "+ 5% --> 35.8 meters \n" ); document.write( "

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