document.write( "Question 1001777: if a gate is \"n\" high and \"2n\" wide and the diagonal measures 96\", what are the height and width of the gate? \n" ); document.write( "

Algebra.Com's Answer #618862 by vleith(2983) $\"\"$ $\"About$

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Let's assume the gate is a rectangle.\r
\n" ); document.write( "\n" ); document.write( "Use Pythagorean theorem\r
\n" ); document.write( "\n" ); document.write( " $\"n%5E2+%2B%282n%29%5E2+=+96%5E2\"$
\n" ); document.write( " $\"n%5E2+%2B+4n%5E2+=+9216\"$
\n" ); document.write( " $\"5n%5E2+=+9216\"$
\n" ); document.write( " $\"n%5E2+=+1843.2\"$
\n" ); document.write( " $\"n+=+42.93\"$ inches
\n" ); document.write( "The gate is approximately 42.93 inches by 85.86 inches \n" ); document.write( "

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