document.write( "Question 851429: A diaganol of a square has length 22, What is the perimeter of the square? \n" ); document.write( "

Algebra.Com's Answer #512765 by JulietG(1812) $\"\"$ $\"About$

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The diagonal cuts the square into right triangles.
\n" ); document.write( "In a right triangle,
\n" ); document.write( " $\"a%5E2%2Bb%5E2=c%5E2\"$
\n" ); document.write( " $\"a%5E2%2Bb%5E2=22\"$
\n" ); document.write( "Since it's a square, a and b have the same lengths, so
\n" ); document.write( " $\"2a%5E2=22\"$
\n" ); document.write( "Divide each side by 2
\n" ); document.write( " $\"a%5E2=11\"$
\n" ); document.write( "Take the square root
\n" ); document.write( "a = the square root of 11 (and therefore, b = the square root of 11)
\n" ); document.write( "Add the sides together and multiply by 2 to get the perimeter (perimeter is a fence requiring 2 width + 2 length) - since it's a square, just multiply the side by 4.
\n" ); document.write( "4 * sq rt of 11 = 13.2665 \n" ); document.write( "

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