Quadrilateral ABCD has a perimeter of 32. AB is 3 times BC. DC is twice as long as AD. If AD is twice as long as BC find the length of the sides.

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Quadrilateral ABCD given info:     <P>erimeter = 32     BC = x (length of BC)     AB = 3x (3 times the length of BC)     AD = 2x (2 times the length of BC)     DC = 2(2x) = 4x (2 times the length of AD) Plug in expressions for lengths of 4 sides in perimeter equation: 32 = x + 3x + 2x + 4x Solve for lengths of  4 sides: 32 = 10x   x =   3.2 (length of BC)3x =   9.6 (length of AB)2x =   6.4 (length of AD)4x = 12.8 (length of DC)