document.write( "Question 948502: The diagonal of a square is 42.5 cm . Calculate the perimeter and the area of the square \n" ); document.write( "
Algebra.Com's Answer #578965 by macston(5194)\"\" \"About 
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The diagonal(d) of a square forms the hypotenuse of a right triangle with two of the sides as legs. Thus:
\n" ); document.write( "\"s%5E2%2Bs%5E2=d%5E2\"
\n" ); document.write( "\"2s%5E2=d%5E2\" Find the square root of each side
\n" ); document.write( "\"sqrt%282%29%28s%29=d\" Divide each side by \"sqrt%282%29\"
\n" ); document.write( "\"s=d%2Fsqrt%282%29\" Substitute value of diagonal
\n" ); document.write( "\"s=42.5cm%2Fsqrt%282%29\"
\n" ); document.write( "Area of a square=\"s%5E2\"
\n" ); document.write( "\"Area=%2842.5cm%2Fsqrt%282%29%29%5E2\"=\"%28%2842.5cm%29%5E2%29%2F2\"=1806.25 sq cm/2=903.125 sq cm
\n" ); document.write( "ANSWER 1: Area of the square is 903.125 sq cm.
\n" ); document.write( "Perimeter of a square=4s=\"4%2842.5cm%2Fsqrt%282%29%29\"=\"170cm%2Fsqrt%282%29\"=120.2 cm
\n" ); document.write( "ANSWER 2: Perimeter of the square is 120.2 cm.\r
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