27. A gardener is planning to plant a border of flowers around a rectangular garden that measures 15 meters in length and 10 meters in width. Which of the following is the total length of flower border needed for the garden?
Answer: B
The total length of flower border needed for the garden is 50 meters.
To find the total length of the flower border needed for the rectangular garden, we calculate the perimeter. The perimeter is given by the formula \( P = 2 \times (length + width) \). Substituting the given dimensions, \( P = 2 \times (15 + 10) = 50 \) meters.
A) 150 meters
This option is incorrect because it does not reflect the correct calculation of the perimeter. A perimeter of 150 meters would suggest an erroneous measurement of the garden's dimensions or misapplication of the perimeter formula.
B) 50 meters
This option is correct as it accurately represents the perimeter of the garden calculated using the formula \( P = 2 \times (length + width) \). With the given dimensions, the calculation confirms that the total length of flower border needed is indeed 50 meters.
C) 25 meters
This option is incorrect because it underestimates the perimeter of the garden. A perimeter of 25 meters does not correspond with the dimensions of 15 meters in length and 10 meters in width, indicating a miscalculation.
D) 100 meters
This option is also incorrect as it overestimates the perimeter. A perimeter of 100 meters does not align with the correct application of the perimeter formula for the given dimensions of the garden.
Conclusion
The correct answer is 50 meters, as it is derived directly from the standard perimeter calculation for a rectangle. All other options are incorrect due to either underestimating or overestimating the perimeter based on the given dimensions. Thus, only option B accurately reflects the required total length of flower border for the garden.