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.
Statement I is true but statement II is false.
Statement I is false but Statement II is true.
Both Statement I and Statement II are true.
Both Statement I and Statement II are false.
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.
Related Questions
Statement I: A mobile phone is 15 cm long and 8 cm wide. The sum of the areas of the front and the back of the mobile phone is 240 cm2.
Statement II: Area of a square with side a is a2.
Statement I is true but statement II is false.
Statement I is false but Statement II is true.
Both Statement I and Statement II are true.
Both Statement I and Statement II are false.
The perimeter of a square ABCD is twice the perimeter of △PQR. Find the area of the square ABCD.
The perimeter of an equilateral triangle is 42 cm. Find the perimeter of a square, each side of which is double the side of the triangle.