Question

A) The perimeter of parallelogram PQRS is 84; PQ = QR

Answer 1

Given:

The perimeter of the parallelogram is 84.

`PQ=QR`

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,

`\begin{gathered} PQ+QR+RS+PS=84 \\ 4x=84 \\ x=(84)/(4) \\ x=21 \end{gathered}`

Thus, all sides are of length 21.

The answer is 21.