The perimeter of the parallelogram ABCD is of 44 units.
We have given diagram ABCD
What is the perimeter of a figure?
The perimeter of a figure is given by the sum of all it's outside measures.
It is a parallelogram,
Therefore we get,
AD = BC
Use the given value of AD and BC from the diagram
3x - 1 = 2x + 2...(1)
x = 3
Use the value of the x in (1)
AD = BC = 3x - 1 = 3(3) - 1 = 8
Also we have,
AB = DC
4y - 2 = 2y + 6...(2)
2y = 8
y = 4
Use the value of the y in (2)
AB = DC = 4y - 2 = 4(4) - 2 = 14
Thus, the perimeter is:
2 x (14 + 8) = 44 units.
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