document.write( "Question 1204003: To start the construction of a rest house in tagaytay, the engineer advice his foreman to erect five pegs to establish the perimeter (outside) of the floor plan, which is in the shape of a regular pentagon. The desired area of the floor plan is 80 squared meters. Find the length of the string needed in the layout. Consider that 5 percent is accounted for tying. \n" ); document.write( "
Algebra.Com's Answer #839981 by Theo(13342)![]() ![]() You can put this solution on YOUR website! the formula to use here is taken from the web.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this is what it looks like.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A is the area. \n" ); document.write( "a is the length of a side.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the expression under the square root sign becomes equal to 6.881909602.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the formula becomes A = 1/4 * 6.881909602 * a^2. \n" ); document.write( "solve for a^2 to get a^2 = 4 * A / 6.881909602. \n" ); document.write( "when A = 80, this becomes a^2 = 4 * 80 / 6.881909602 = 46.49872179. \n" ); document.write( "solve for a to get a = square root of 46.49872179 = 6.818997125. \n" ); document.write( "the perimeter of the pentagon is 5 times that = 34.40954801. \n" ); document.write( "add 5% to that to get 35.79973491. \n" ); document.write( "the minimum length of string you'll need has a length of 35.79973491 meters. \n" ); document.write( "that's your solution.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the online calculator that i got this from is found at https://www.google.com/search?q=area+of+a+pentagon+calculator&rlz=1C1CHBD_enUS961US961&oq=area+of+a+pentagon+calculator&gs_lcrp=EgZjaHJvbWUqCQgAEEUYOxiABDIJCAAQRRg7GIAEMgcIARAAGIAEMggIAhAAGBYYHjIICAMQABgWGB4yCAgEEAAYFhgeMggIBRAAGBYYHjIICAYQABgWGB4yCAgHEAAYFhgeMggICBAAGBYYHjIKCAkQABiGAxiKBdIBCDY5MTBqMGo5qAIAsAIA&sourceid=chrome&ie=UTF-8\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |