document.write( "Question 298475: The diagonals of a rhombus are 6 cm and 8 cm. What is the perimeter of the rhombus? \n" ); document.write( "
Algebra.Com's Answer #214685 by nyc_function(2741)\"\" \"About 
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Diagonal 6cm = 3cm + 3cm = legs of right triangle within rhombus.\r
\n" ); document.write( "\n" ); document.write( "Diagonal 8cm = 4cm + 4cm = legs of right triangle within rhombus.\r
\n" ); document.write( "\n" ); document.write( "We need to find the side of the rhombus using the Pythagorean Theorem.\r
\n" ); document.write( "\n" ); document.write( "After that, we use the formula P = 4s to find your perimeter.\r
\n" ); document.write( "\n" ); document.write( "Let s = side of rhombus.\r
\n" ); document.write( "\n" ); document.write( "3^2 + 4^2 = s^2\r
\n" ); document.write( "\n" ); document.write( "9 + 16 = s^2\r
\n" ); document.write( "\n" ); document.write( "25 = s^2\r
\n" ); document.write( "\n" ); document.write( "5 = s\r
\n" ); document.write( "\n" ); document.write( "Now that we know the side of the rhombus, apply P = 4s.\r
\n" ); document.write( "\n" ); document.write( "P = 4(5)\r
\n" ); document.write( "\n" ); document.write( "P = 20cm\r
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