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?
50 meters of flower border is needed for the garden.
To find the total length of the flower border around the rectangular garden, we calculate the perimeter using the formula: Perimeter = 2 × (length + width). For this garden, the perimeter is 2 × (15 m + 10 m) = 2 × 25 m = 50 m.
This option incorrectly suggests that the flower border length is much larger than it actually is. A perimeter of 150 meters would imply a much larger garden than the given dimensions of 15 meters by 10 meters.
This choice correctly represents the calculated perimeter of the garden. It accurately reflects the total length of flower border needed, derived from adding the length and width of the garden and multiplying by two.
This option misrepresents the perimeter calculation. The value of 25 meters represents the sum of the length and width of the garden (15 m + 10 m), but the total length of the border requires multiplying this sum by 2, resulting in 50 meters, not 25.
Selecting this option suggests a misunderstanding of the perimeter formula. A perimeter of 100 meters would require a garden of dimensions that are significantly larger than the given 15 meters by 10 meters. This indicates a miscalculation or confusion in the application of the perimeter formula.
In summary, the total length of flower border needed for the rectangular garden is 50 meters, correctly calculated from the perimeter formula. Understanding how to compute the perimeter is essential for planning landscaping projects accurately. The other options either miscalculate or misinterpret the dimensions of the garden, leading to incorrect perimeter values.
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