document.write( "Question 194940: Find the length of a diagonal of a square if its area is 162 square feet. \r
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document.write( "I don't even know how to set this problem up. Thanks for the help. \n" );
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Algebra.Com's Answer #146232 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! Find the length of a diagonal of a square if its area is 162 square feet. \n" ); document.write( ". \n" ); document.write( "Let x = side of the square \n" ); document.write( "then \n" ); document.write( "x^2 = 162 \n" ); document.write( "x = sqrt(162) \n" ); document.write( "x = sqrt(2*9*9) \n" ); document.write( "x = 9sqrt(2) \n" ); document.write( ". \n" ); document.write( "Let d = diagonal \n" ); document.write( "then \n" ); document.write( "(9sqrt(2))^2 + (9sqrt(2))^2 = d^2 \n" ); document.write( "2(9sqrt(2))^2 = d^2 \n" ); document.write( "2(81*2) = d^2 \n" ); document.write( "324 = d^2 \n" ); document.write( "sqrt(324) = d \n" ); document.write( "18 feet = d \n" ); document.write( " \n" ); document.write( " |