document.write( "Question 592145: perimeter of a square is numerically greater than its area by 4. find its diagonal. \n" ); document.write( "
Algebra.Com's Answer #375852 by htmentor(1343)\"\" \"About 
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perimeter of a square is numerically greater than its area by 4. find its diagonal.
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\n" ); document.write( "Let s = the length of a side
\n" ); document.write( "The perimeter = 4s and the area = s^2
\n" ); document.write( "Given: perimeter is 4 more than the area
\n" ); document.write( "4s = s^2 + 4
\n" ); document.write( "Solve for s:
\n" ); document.write( "s^2 - 4s + 4 = 0
\n" ); document.write( "(s-2)(s-2) = 0
\n" ); document.write( "This gives s = 2
\n" ); document.write( "The diagonal is s*\"sqrt%282%29\" = \"2%2Asqrt%282%29\"
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