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Question

Given below is a parallelogram ABCD. Find the value of x and y.


A
2 cm, 4 cm
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B
4 cm, 6 cm
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C
1 cm, 2 cm
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D
3 cm, 4 cm
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Solution

The correct option is A 2 cm, 4 cm

The given figure ABCD, is a parallelogram such that AO = 10 cm and BO = 12 cm

For a parallelogram, we know that the diagonals bisects each other.

Hence, AO = OC and BO = OD

Now,
OC = 10 cm [AO=OC]
2y + 2 = 10 cm
2y = 10 cm - 2 cm
2y = 8 cm
y = 4 cm

And
OD = 12 cm [OD=BO]
4x + 4 = 12 cm
4x = 12 - 4 cm
4x = 8 cm
x = 2 cm

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