document.write( "Question 810711: Find the area and perimeter of a square plot of land, the length of whose diagonal is 10 m.
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Algebra.Com's Answer #488516 by Charles3475(23)\"\" \"About 
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We have a square with a diagonal of 10 m.\r
\n" ); document.write( "\n" ); document.write( "The length of a side of the square is \"s\"\r
\n" ); document.write( "\n" ); document.write( "The Pythagorean theorem tells us that \"s%5E2%2Bs%5E2=10%5E2=100\"\r
\n" ); document.write( "\n" ); document.write( "Therefore, \"2%2As%5E2=100\"; \"s%5E2=50\"; \"s=sqrt%2850%29\"\r
\n" ); document.write( "\n" ); document.write( "Knowing the side we can figure the area as \"s%5E2=%28sqrt%2850%29%29%5E2=50\"\r
\n" ); document.write( "\n" ); document.write( "We can also determine the perimeter as the sum of the length of the four sides:\r
\n" ); document.write( "\n" ); document.write( "Perimeter \"P=4%2As=4%2Asqrt%2850%29=4%2Asqrt%282%2A25%29=4%2A5%2Asqrt%282%29=20%2Asqrt%282%29\"
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