Based on the properties of the sides of a parallelogram, the length of PQ is: D. 9 cm.
What is a Parallelogram?
A parallelogram is a quadrilateral that has two opposite sides that are congruent and parallel to one another.
Thus:
PQ = SR
Substitute
(2x + 5) = (4x + 1)
2x + 5 = 4x + 1
Add like terms together
2x - 4x = -5 + 1
-2x = -4
x = 2
PQ = 2x + 5
Plug in the value of x
PQ = 2(2) + 5
PQ = 9 cm
Therefore, based on the properties of the sides of a parallelogram, the length of PQ is: D. 9 cm.
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