8. The following figures GUNS and RUNS are parallelograms. Find x and y. (Lengths are in cm)

    

Answers (1)

Diagonals of a parallelogram bisect each other, therefore,

OR = ON i.e. 16 = x + y ….(1)

and OU = OS i.e. y + 7 = 20 ….(2)

From (2), y = 20 – 7 = 13 cm

putting y = 13 in (1),

we get 16 = x + 13 or x = 16 – 13 = 3 cm

Hence x = 3 cm and y = 13 cm

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