document.write( "Question 194940: Find the length of a diagonal of a square if its area is 162 square feet. \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "I don't even know how to set this problem up. Thanks for the help.
\n" ); document.write( "

Algebra.Com's Answer #146232 by nerdybill(7384)\"\" \"About 
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( "
\n" );