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)![]() ![]() You can put this solution on YOUR website! The perimeter of a square is 36 centimeters. Find the length of the diagonal.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 1. Let P be the perimeter of a square which means adding up all four sides.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 2. Let s be the side of a square.\r \n" ); document.write( " \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 \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 5. ANSWER: The length of diagonal is \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I hope the above steps were helpful.\r \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Good luck in your studies!\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Respectfully, \n" ); document.write( "Dr J \n" ); document.write( " |