document.write( "Question 213863: The perimeter of a square is 36 centimeters. Find the length of the diagonal. \n" ); document.write( "
Algebra.Com's Answer #161547 by drj(1380)\"\" \"About 
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The perimeter of a square is 36 centimeters. Find the length of the diagonal.\r
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\n" ); document.write( "\n" ); document.write( "Step 1. Let P be the perimeter of a square which means adding up all four sides.\r
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\n" ); document.write( "\n" ); document.write( "Step 2. Let s be the side of a square.\r
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\n" ); document.write( "\n" ); document.write( "Step 3 Then 4s=36 or s=9 centimeters after dividing by 4 to both sides of equation.\r
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\n" ); document.write( "\n" ); document.write( "Step 4. Use Pythagorean Theorem to find diagonal which says that the sum of the square of the legs (=s^2+s^2=2s^2) is equal to square of the hypotenuse (diagonal in this case and letting d be the diagonal).\r
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\n" ); document.write( "\n" ); document.write( "\"d%5E2=s%5E2%2Bs%5E2=2s%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"d=sqrt%282s%5E2%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"d=sqrt%282%2A9%5E2%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"d=9%2Asqrt%282%29=12.73\"\r
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\n" ); document.write( "\n" ); document.write( "Step 5. ANSWER: The length of diagonal is \"9sqrt%282%29=12.73\" centimeters\r
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\n" ); document.write( "\n" ); document.write( "I hope the above steps were helpful.\r
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\n" ); document.write( "\n" ); document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r
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\n" ); document.write( "\n" ); document.write( "Good luck in your studies!\r
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\n" ); document.write( "\n" ); document.write( "Respectfully,
\n" ); document.write( "Dr J
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