Given below is a rectangle ABCD. Find the value of x.

2 cm

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4 cm

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6 cm

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8 cm

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Solution

The correct option is B 4 cm

The given figure ABCD, is a Rectangle such that AO = 10 cm.

For a rectangle we know that the diagonals bisects each other.

Hence, AO = OC

Now,
OC = 10 cm [ $∵ A O = O C$ ]
$\Rightarrow$ 2x + 2 = 10 cm
$\Rightarrow$ 2x = 10 cm - 2 cm
$\Rightarrow$ 2x = 8 cm
$\Rightarrow$ x = 4 cm

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