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Explanation:

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2x2 is a power of 2.

Hence, x2 is a power of 2.

Hence, x is a power of 2.

Also by triangle inequality 3x2 > 295

∴ x2 > 98.33

∴ x ≥ 10

Hence, x is a power of 2 which is greater than 10.

We try with x = 16. Then we have,

AB = 256, AC = 512

∴ Perimeter = 256 + 512 +295= 1063, which is there in the options.

Hence, option (c).

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