34. A rectangular garden has a length of 15 meters (m) and a width of 10 meters. Which of the following is the perimeter of the garden?
Answer: A
The perimeter of the garden is 50 meters.
To calculate the perimeter of a rectangle, we use the formula P = 2(length + width). In this case, the length is 15 meters and the width is 10 meters, resulting in a perimeter of 2(15 + 10) = 2(25) = 50 meters.
A) 50 m
This option is correct as it accurately represents the perimeter calculated using the formula for a rectangle. The calculation shows that the perimeter is indeed 50 meters.
B) 25 m
This option is incorrect because it represents only the sum of the length and width, not the total perimeter. The perimeter must account for both lengths and both widths, thus cannot be 25 meters.
C) 75 m
This option is incorrect as it does not reflect the perimeter calculation. A perimeter of 75 meters would imply either larger dimensions or a miscalculation of the rectangle's perimeter.
D) 150 m
This option is incorrect as well, as it greatly exceeds the actual perimeter calculated. A perimeter of 150 meters would suggest significantly larger dimensions than those given in the question.
Conclusion
The correct answer, 50 meters, is derived directly from the perimeter formula, demonstrating that only option A accurately reflects the calculation. All other options fail because they misrepresent the perimeter based on the given dimensions of the rectangle.