document.write( "Question 1037547: find the perimeter of a square in which the square of its diagonals is 200cmsquare \n" ); document.write( "
Algebra.Com's Answer #652267 by ikleyn(52781)\"\" \"About 
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\n" ); document.write( "find the perimeter of a square in which the square of its diagonals is 200 cm squared.
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document.write( "You are given that \"D%5E2\" = \"200\".\r\n" );
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document.write( "Hence, D = \"10%2Asqrt%282%29\".\r\n" );
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document.write( "As everybody knows, the diagonal of a square is D = \"a%2Asqrt%282%29\", where a is the square side.\r\n" );
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document.write( "Hence, a = 10 in our case.\r\n" );
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document.write( "Then the perimeter of the square is 4*10 = 40 cm.\r\n" );
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document.write( "Answer.  The perimeter of the square is 40 cm.\r\n" );
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