Mathematics
Statement I: Two rectangular sheets, of length 20 m and width 10 m each, are placed edge to edge along their longer sides. The perimeter of the resulting figure is 80 m.
Statement II: Perimeter of a pentagon is five times the length of any side.
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: When two rectangles of length 20 m and width 10 m are placed edge to edge along their longer sides (20 m), the resulting figure is a rectangle of length 20 m and width 20 m (i.e., a square).
Perimeter = 2(20 + 20) = 2 × 40 = 80 m. Statement I is true.
Statement II: The perimeter of a pentagon is five times the length of any side only if it is a regular pentagon (all sides equal). In general, a pentagon has 5 sides which may not all be equal. Statement II is false.
Statement I is true but Statement II is false.
Hence, option 1 is the correct option.
Related Questions
A picture is 60 cm wide and 1.8 m long. The ratio of its width to its perimeter in lowest form is
1 : 2
1 : 3
1 : 6
1 : 8
Statement I: I have two wires of 27 m each. I bend one into a circle and the other into an equilateral triangle. Both shapes have the same perimeter.
Statement II: The perimeter of a closed shape is the length of 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.
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.