document.write( "Question 1195290: The área of a square is 36 square feet. Which of the following measures is closets to the length of its diagonal? \n" ); document.write( "
Algebra.Com's Answer #827739 by math_tutor2020(3817)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "The area is 36 square feet, so the side length is \"sqrt%2836%29+=+6\" feet.
\n" ); document.write( "As a check: 6*6 = 36\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Refer to the diagram below.
\n" ); document.write( "a = 6, b = 6 are the legs of the right triangle.
\n" ); document.write( "c = hypotenuse
\n" ); document.write( "\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Apply the pythagorean theorem
\n" ); document.write( "\"a%5E2%2Bb%5E2+=+c%5E2\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"c+=+sqrt%28a%5E2%2Bb%5E2%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"c+=+sqrt%286%5E2%2B6%5E2%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"c+=+sqrt%282%2A6%5E2%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"c+=+sqrt%282%29%2Asqrt%286%5E2%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"c+=+sqrt%282%29%2A6\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"c+=+6%2Asqrt%282%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"c+=+8.48528\" approximately\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The diagonal is exactly \"6%2Asqrt%282%29\" feet long, or approximately 8.48528 feet
\n" ); document.write( "Round the decimal value however your teacher instructs.
\n" ); document.write( "
\n" ); document.write( "
\n" );