document.write( "Question 998383: The perimeter of MNO is equal to the perimeter of square ABCD. If the lengths of the sides of the triangle are represented by 4x + 4, 5x - 3, and 17, and one side of the square is represented by 3x, find the length of a side of the square. \n" ); document.write( "
Algebra.Com's Answer #616349 by ankor@dixie-net.com(22740)\"\" \"About 
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The perimeter of MNO is equal to the perimeter of square ABCD.
\n" ); document.write( " If the lengths of the sides of the triangle are represented by 4x + 4, 5x - 3, and 17,
\n" ); document.write( " and one side of the square is represented by 3x,
\n" ); document.write( " find the length of a side of the square.
\n" ); document.write( ":
\n" ); document.write( "Find the perimeter of the triangle
\n" ); document.write( "p = (4x+4) + (5x - 3) + 17
\n" ); document.write( "combine like terms
\n" ); document.write( "p = 9x + 4 - 3 + 17
\n" ); document.write( "p = 9x + 18
\n" ); document.write( "find the perimeter of the square
\n" ); document.write( "p = 4(3x)
\n" ); document.write( "p = 12x
\n" ); document.write( "perimeters are equal, therefore
\n" ); document.write( "12x = 9x + 18
\n" ); document.write( "12x - 9x = 18
\n" ); document.write( "3x = 18
\n" ); document.write( "x = 18/3
\n" ); document.write( "x = 6
\n" ); document.write( "find the length of the sides of the square
\n" ); document.write( "3(6) = 18
\n" ); document.write( ":
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\n" ); document.write( ":
\n" ); document.write( "Confirm this by finding the perimeters of each
\n" ); document.write( "the square:
\n" ); document.write( " 4(18) = 72
\n" ); document.write( "the triangle
\n" ); document.write( "p = (4(6)+4) + (5(6) - 3) + 17
\n" ); document.write( "p = (24+4) + (30 - 3) + 17
\n" ); document.write( "p = 28 + 27 + 17
\n" ); document.write( "p = 72
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