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    Question

    A rectangular garden is fenced on all four sides, and it has a walkway along its perimeter. What is the area of the walkway?

    Statements:

    1. The walkway has a uniform width of 1.5 meters around the garden. The length and width of the garden (excluding the walkway) are 20 meters and 15 meters, respectively.
    2. The total area covered by the garden and the walkway together is 414 square meters.

    A Statement 1 alone is sufficient, but statement 2 alone is not sufficient. Correct Answer Incorrect Answer
    B Statement 2 alone is sufficient, but statement 1 alone is not sufficient. Correct Answer Incorrect Answer
    C Both statements together are sufficient, but neither alone is sufficient. Correct Answer Incorrect Answer
    D Each statement alone is sufficient. Correct Answer Incorrect Answer
    E Statements 1 and 2 together are not sufficient. Correct Answer Incorrect Answer

    Solution

    Solution: From Statement 1: We know the dimensions of the garden (20 m by 15 m) and the width of the walkway (1.5 m). The area of the garden itself: 20 * 15 = 300 square meters. With the walkway’s width, the outer dimensions become 20 + 2 * 1.5 = 23 meters by 15 + 2 * 1.5 = 18 meters. The area of the garden plus walkway is 23 * 18 = 414 square meters. Thus, the area of the walkway alone is 414 - 300 = 114 square meters. Statement 1 alone is sufficient. From Statement 2: We know the total area (garden plus walkway) is 378 square meters. However, without knowing the dimensions of the garden or walkway width, we cannot separate the area of the walkway from the garden. Statement 2 alone is not sufficient. Correct Answer: (a) Statement 1 alone is sufficient, but statement 2 alone is not sufficient.

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