1.

In the following figures RISK and STEW are parallelograms, find the values of x and y (length in cm)

Answer»

(i) ∵ Opposite sides of a parallelogram are equal.

∴3x = 18
and 3y – 1 = 26
⇒ x = 18/3 = 6
and 3y = 26 + 1
⇒ 3y = 27
⇒ y = 27/2 = 9
So, x = 6 cm and y = 9 cm

(ii) ∵ Diagonals of a parallelogram bisect each other

x + y = 16….(1)
and y + 7 = 20….(2)
From equation (2),
y = 20 – 7 = 13
We put y = 13 in equation (1)
x + 13 = 16
=> x = 16 – 13 = 3
So, x = 3 cm and y = 13 cm


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