document.write( "Question 534120: the perimeter is 46cm and length of one side is 8cm find the length of the diagonal.
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #351370 by oberobic(2304) $\"\"$ $\"About$

You can put this solution on YOUR website!
Assuming this is a rectangle,
\n" ); document.write( "P = 46
\n" ); document.write( "P = 2(L+W)
\n" ); document.write( "L+W = 23
\n" ); document.write( "L = 8
\n" ); document.write( "W = 23-8 = 15
\n" ); document.write( ".
\n" ); document.write( "Assuming this is a rectangle, we can use the Pythagorean Theorem to find the length of the diagonal.
\n" ); document.write( ".
\n" ); document.write( "c^2 = 8^2 + 15^2
\n" ); document.write( "c^2 = 64 + 225
\n" ); document.write( "c^2 = 289
\n" ); document.write( "c = sqrt(289)
\n" ); document.write( "c = 17
\n" ); document.write( ".
\n" ); document.write( "The sqrt(289) = + or -17, but we can ignore the -17 because a negative length for the diagonal is nonsense.
\n" ); document.write( ".
\n" ); document.write( "Answer: The diagonal is 17 cm. \n" ); document.write( "

\n" );