Given:
The perimeter of the parallelogram is 84.
[tex]PQ=QR[/tex]
To find- each side of a parallelogram.
Explanation-
We know that the opposite sides of a parallelogram are the same. PQ = RS and RQ = PS.
It is given that PQ = QR which means all the sides are equal.
The perimeter of the parallelogram is the sum of all sides. Let one side be x.
Mathematically,
[tex]\begin{gathered} PQ+QR+RS+PS=84 \\ 4x=84 \\ x=\frac{84}{4} \\ x=21 \end{gathered}[/tex]
Thus, all sides are of length 21.
The answer is 21.
