Which one of the following has a greater perimeter than the rest?
Reviewed by Dalvoy
UPSC Civil Services preparation
- AA square with an area of 36 sq. cm
- BAn equilateral triangle with a side of 9 cm
- CA rectangle with 10 cm as length and 40 sq. cm as areaCorrect
- DA circle with a radius of 4 cm
Explanation
To find the perimeter of each shape, we calculate as follows:
For Option A, a square with an area of 36 square cm has a side of 6 cm. The perimeter is 4 multiplied by 6, which equals 24 cm.
For Option B, an equilateral triangle with a side of 9 cm has a perimeter of 3 multiplied by 9, which equals 27 cm.
For Option C, a rectangle with an area of 40 square cm and a length of 10 cm must have a width of 4 cm. The perimeter is 2 multiplied by the sum of 10 and 4, which equals 28 cm.
For Option D, a circle with a radius of 4 cm has a perimeter calculated as 2 multiplied by pi (approximately 3.14) multiplied by 4. This equals approximately 25.12 cm.
Comparing the results: 24 cm, 27 cm, 28 cm, and 25.12 cm. The rectangle in Option C has the greatest perimeter.
