+948 In quadrilateral $PQRS$, $PQ = QR = RS = SP$, $PR = \sqrt{2}$, and $QS = \sqrt{2}$. Find the perimeter of $PQRS$.
+1277
In quadrilateral $PQRS$, $PQ = QR = RS = SP$, $PR = \sqrt{2}$, and $QS = \sqrt{2}$. Find the perimeter of $PQRS$.
All four sides are equal; that makes it at least a rhombus.
Both diagonals are the same; and that makes it a square.
The diagonal of the square is the square root of two.
That makes the sides equal one. Therefore the perimeter is 4 units.
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