# Chapter 4 - Section 4.1 - Properties of a Parallelogram - Exercises - Page 188: 9

$AB = 8$ $BC = 9$ $CD = 8$ $AD = 9$

#### Work Step by Step

The opposite sides of a parallelogram have equal lengths. We can find the value of $x$: $AB = CD$ $3x+2 = 5x-2$ $2x = 4$ $x = 2$ We can find the length of $AB$: $AB = 3x+2 = (3)(2)+2 = 8$ We can find the length of $BC$: $BC = 4x+1 = (4)(2)+1 = 9$ We can find the length of $CD$: $CD = AB = 8$ We can find the length of $AD$: $AD = BC = 9$

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