document.write( "Question 551827: How do you find the area and perimeter of a square when you are only given the diaganol length of 18meters? Thanks:] \n" ); document.write( "
Algebra.Com's Answer #359959 by TutorDelphia(193)\"\" \"About 
You can put this solution on YOUR website!
The diagonal length is the hypotenuse to a right triangle where the sides have equal length\r
\n" ); document.write( "\n" ); document.write( "From the Pythagorean theorem we know that
\n" ); document.write( "\"a%5E2%2Bb%5E2=c%5E2\"\r
\n" ); document.write( "\n" ); document.write( "Since the sides a and b are the same we can rewrite it as
\n" ); document.write( "\"s%5E2%2Bs%5E2=18%5E2\"
\n" ); document.write( "combine like terms
\n" ); document.write( "\"2s%5E2=324\"
\n" ); document.write( "divide both sides by 2
\n" ); document.write( "\"s%5E2=162\"
\n" ); document.write( "Since \"s%5E2\" is my area formula for a square, 162 is my area.
\n" ); document.write( "The perimeter will be 4*s
\n" ); document.write( "take the square root of both sides
\n" ); document.write( "s=12.73m
\n" ); document.write( "4s=50.91
\n" ); document.write( "
\n" );