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Mathematics

Statement I: Area and perimeter of a given shape always have the same units.

Statement II: Area of a closed plane figure measures the region enclosed by its boundary.

  1. Statement I is true but statement II is false.

  2. Statement I is false but Statement II is true.

  3. Both Statement I and Statement II are true.

  4. Both Statement I and Statement II are false.

Mensuration

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Answer

Statement I: Perimeter is measured in units of length (cm, m, km, etc.), while area is measured in square units (sq. cm, sq. m, sq. km, etc.). So, area and perimeter do not have the same units. Statement I is false.

Statement II: The area of a closed plane figure is indeed the measurement of the region (surface) enclosed by its boundary. Statement II is true.

Statement I is false but Statement II is true.

Hence, option 2 is the correct option.

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