The value of PQ in rhombus NPQR is 76 units.
The figure above is a rhombus.
Properties of a rhombus:
- All the sides are equal
- opposite angles are equal
- The diagonal are perpendicular bisector of each other.
Therefore,
PQ = NR = NP = RQ
5x + 16 = 9x - 32
5x - 9x = -32 - 16
-4x = -48
x = -48 / -4
x = 12
PQ = 5(12) + 16 = 60 + 16 = 76 units
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