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?

Rationale

The perimeter of the garden is 50 m.

To calculate the perimeter of a rectangle, the formula is P = 2(length + width). For this garden, substituting the given dimensions, we find P = 2(15 m + 10 m) = 50 m.

A (50 m) CORRECT

This choice is correct as it accurately represents the perimeter calculated using the formula for a rectangle. By adding the length (15 m) and width (10 m) and multiplying by 2, we confirm that the perimeter equals 50 m.

B (25 m) YOUR ANSWER

This option incorrectly suggests that the perimeter is half of what it should be. It likely results from mistakenly dividing the length and width instead of adding them before multiplying by 2. The perimeter cannot be less than either dimension of the rectangle.

C (75 m) YOUR ANSWER

This choice represents an incorrect calculation, possibly arising from an incorrect addition or misunderstanding of the perimeter formula. By adding 15 m and 10 m correctly, the total is 25 m, which when multiplied by 2 gives 50 m, not 75 m.

D (150 m) YOUR ANSWER

This option is significantly higher than the actual perimeter and likely results from an error such as multiplying the length and width or an incorrect application of the perimeter formula. The perimeter cannot exceed the sum of the dimensions multiplied by two.

Conclusion

The perimeter of a rectangular garden can be accurately calculated using the formula P = 2(length + width). For the given dimensions of 15 m and 10 m, the correct perimeter is 50 m. The incorrect choices stem from misinterpretations or errors in applying the perimeter calculation, highlighting the importance of following the formula correctly for accurate results.

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?

The perimeter of the garden is 50 m.

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