SOLUTION: ABCD is a parallelogram AB = 2x + 6 BC = 8 CD = x + 8 Find the perimeter of ABCD

Algebra ->  Parallelograms -> SOLUTION: ABCD is a parallelogram AB = 2x + 6 BC = 8 CD = x + 8 Find the perimeter of ABCD      Log On


   

Question 678516: ABCD is a parallelogram
AB = 2x + 6
BC = 8
CD = x + 8
Find the perimeter of ABCD
Found 2 solutions by fcabanski, amalm06:
Answer by fcabanski(1391) About Me  (Show Source):
You can put this solution on YOUR website!
Opposite sides of a parallelogram are equal. BC=8 so AD=8. AB = CD....solve for x and find AB and CD.


2x+6 = x+8 --->x=2. AB is 2(2)+6 =10 and CD is also 10 but plug in x to make sure 2+8=10.


The perimeter is 8+8+10+10 = 36

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Answer by amalm06(224) About Me  (Show Source):
You can put this solution on YOUR website!
Since opposite sides of a parallelogram are congruent, 2x+6=x+8
So that x=2
AB=DC=10
Perimeter=(2)(10)+(2)(8)=20+16=36