Question

Find x and y, lenghts are in cm

Answer 1

Step-by-step explanation:

Solution:

(i) In parallelogram GUNS,

GS=UN

[Opposite sides of parallelogram are equal]

\Rightarrow3x=18⇒3x=18

\Rightarrow x=\frac{18}{3}=6⇒x=

3

18

=6 cm

Also GU=SN

[Opposite sides of parallelogram are equal]

\Rightarrow3y-1=26⇒3y−1=26

\Rightarrow3y=26+1⇒3y=26+1

\Rightarrow3y=27⇒3y=27

\Rightarrow y=\frac{27}{3}=9⇒y=

3

27

=9 cm

Hence, x = 6cm and y = 9cm.

(ii) In parallelogram RUNS,

y + 7 = 20

[Diagonals of ||gm bisects each other]

\Rightarrow y=20-7=13⇒y=20−7=13 cm

And x + y = 16

\Rightarrow x+13=16⇒x+13=16

\Rightarrow x=16-13=3⇒x=16−13=3

x = 3cm

Hence, x = 3cm and y = 13cm.

Answer 2

Step-by-step explanation:

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Refer to the above attachment ⬆️⬆️.