The diagonals of a quadrilateral PQRS bisect each other at right angles. If $P Q = 5.5 c m$ , then the perimeter of PQRS is

11

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22

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16.5

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55 (1 + \sqrt{2})

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Solution

The correct option is B $22$ cm
Given that the diagonals of a quadrilateral bisect each other at right angles.
Since, the diagonal bisect each other, the quadrilateral is a parallelogram.
The diagonals of the quadrilateral bisect at right angles, hence it must be a rhombous in which all sides are equal.
Then, perimeter
$= 4 S = 4 \times 5.5 = 22 c m$

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The diagonals of a quadrilateral PQRS bisect each other at right angles. If PQ=5.5cm, then the perimeter of PQRS is

The diagonals of a quadrilateral PQRS bisect each other at right angles. If $P Q = 5.5 c m$ , then the perimeter of PQRS is