Question

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

(a) 11 cm

(b) 22 cm

(c) 16.5 cm

(d) 5.5 (1 + √2) cm

Answer 1

Correct option is (b) 22 cm

The diagonals of a quadrilateral bisect at right angles. Since, the diagonal bisect each other hence, the quadrilateral is a parallelogram.

The diagonals of the quadrilateral bisect at right angles, hence it is a square.

Now, all the sides of the square are equal and perimeter = 4S = 4 × 5.5 = 22 cm