document.write( "Question 585516: a diagonal of a square is 6 inches long. find its permiter and its area. \n" ); document.write( "
Algebra.Com's Answer #373379 by Earlsdon(6294)\"\" \"About 
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Apply the Pythagorean theorem:
\n" ); document.write( "The diagonal (6 inches) of the square is the hypotenuse of a right triangle whose legs are s and s.
\n" ); document.write( "\"6%5E2+=+s%5E2%2Bs%5E2\" Simplify.
\n" ); document.write( "\"36+=+2s%5E2\" Divide by 2.
\n" ); document.write( "\"18+=+s%5E2\" Take the square root.
\n" ); document.write( "\"s+=+sqrt%2818%29\" Simplify.
\n" ); document.write( "\"s+=+3sqrt%282%29\"
\n" ); document.write( "Perimeter (P):
\n" ); document.write( "\"P+=+4s\"
\n" ); document.write( "\"P+=+4%2A3sqrt%282%29\"
\n" ); document.write( "\"P+=+12sqrt%282%29\"inches. and...
\n" ); document.write( "Area \"A+=+s%5E2\"
\n" ); document.write( "\"A+=+18\"sq.in.
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