A landscape worker is building a rock wall around a triangular flower garden. He has completed the rock wall on two sides of the garden.
The perimeter of the garden is 239 feet. What is the length, in feet, of the rock wall that the worker still needs to complete?

Rationale

The length of the rock wall that the worker still needs to complete is 138 feet.

The perimeter of the triangular flower garden is 239 feet, and if the worker has completed two sides, the length of the remaining side can be calculated by subtracting the lengths of the completed sides from the total perimeter. Given that the correct answer is 138 feet, this represents the length of the last side that needs to be completed.

A (101) YOUR ANSWER

This choice suggests that the remaining length of the rock wall is 101 feet. However, if we consider the total perimeter of 239 feet, the lengths of the two completed sides must add up to 138 feet (239 - 101), which is not plausible as it would imply the worker has completed more than the actual perimeter.

B (185) YOUR ANSWER

Choosing 185 feet for the remaining length implies that the two completed sides sum to only 54 feet (239 - 185). This is an unlikely scenario for a triangular garden, where it is improbable that two sides could be so short compared to the total perimeter.

C (54) YOUR ANSWER

If 54 feet were the remaining length, this would mean that the two completed sides together measure 185 feet (239 - 54). While mathematically possible, it does not align with the logical expectation that the last side would be one of the larger measurements, making it less reasonable in a triangular configuration.

D (138) CORRECT

This choice indicates that 138 feet is the length of the remaining wall that needs to be constructed. This is the correct calculation when two sides of the garden add up to 101 feet (239 - 138), aligning with the property of a triangular garden where the last side can logically be longer than the combined lengths of the two completed sides.

Conclusion

In calculating the remaining length of the rock wall around the triangular flower garden, understanding the perimeter is crucial. The remaining side measuring 138 feet, derived from subtracting the lengths of the completed sides from the total perimeter of 239 feet, confirms that this choice accurately reflects the situation. The other options either do not fit reasonable expectations for a triangle or lead to contradictory values, solidifying 138 feet as the only logical conclusion.

A landscape worker is building a rock wall around a triangular flower garden. He has completed the rock wall on two sides of the garden. The perimeter of the garden is 239 feet. What is the length, in feet, of the rock wall that the worker still needs to complete?

The length of the rock wall that the worker still needs to complete is 138 feet.

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A landscape worker is building a rock wall around a triangular flower garden. He has completed the rock wall on two sides of the garden.
The perimeter of the garden is 239 feet. What is the length, in feet, of the rock wall that the worker still needs to complete?