document.write( "Question 283707: the diagonal of a square is 62 feet. What is the perimeter? \n" ); document.write( "
Algebra.Com's Answer #205916 by oberobic(2304)![]() ![]() ![]() You can put this solution on YOUR website! The diagonal of a square is the hypotenuse of a triangle. \n" ); document.write( ". \n" ); document.write( "c^2 = a^2 + b^2 \n" ); document.write( ". \n" ); document.write( "Since it is a square, a=b. \n" ); document.write( ". \n" ); document.write( "62^2 = a^2 + b^2 = a^2 + a^2 \n" ); document.write( ". \n" ); document.write( "62^2 = 2a^2 \n" ); document.write( ". \n" ); document.write( "3844 = 2a^2 \n" ); document.write( ". \n" ); document.write( "2a^2 = 3844 \n" ); document.write( ". \n" ); document.write( "a^2 = 1922 \n" ); document.write( ". \n" ); document.write( "a = sqrt(1922) \n" ); document.write( ". \n" ); document.write( "a = 43.84 \n" ); document.write( ". \n" ); document.write( "So, the perimeter = 4*43.84 = 175.35 or about 176 \n" ); document.write( ". \n" ); document.write( "Done \n" ); document.write( " |