document.write( "Question 392684: The perimeter of a quadrilateral (four sided polygon) is 29 inches. The longest side is twice as long as the shortest side. The other two sides are equally long and are 2 inches longer than the shortest side. Find the length of all the sides.
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Algebra.Com's Answer #278831 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! let the 4 sides be a, b, c, d; (a is the longest, d is the shortest) \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement: \n" ); document.write( ": \n" ); document.write( "The perimeter of a quadrilateral (four sided polygon) is 29 inches. \n" ); document.write( "a + b + c + d = 29 \n" ); document.write( ": \n" ); document.write( " The longest side is twice as long as the shortest side. \n" ); document.write( "a = 2d \n" ); document.write( ": \n" ); document.write( "The other two sides are equally long \n" ); document.write( "b = c \n" ); document.write( ": \n" ); document.write( " and are 2 inches longer than the shortest side. \n" ); document.write( "b = d + 2 \n" ); document.write( "c = d + 2 \n" ); document.write( ": \n" ); document.write( "Substitute in the perimeter equation \n" ); document.write( "a + b + c + d = 29 \n" ); document.write( "2d + (d+2) + (d+2) + d = 29 \n" ); document.write( "5d + 4 = 29 \n" ); document.write( "5d = 29 - 4 \n" ); document.write( "d = \n" ); document.write( "d = 5 \n" ); document.write( ": \n" ); document.write( "You should be able to find the other 4 sides now, see that they add up to 29\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |