Solutions

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Question

The figure above represents a rectangular garden bordered by a walk away that has a uniform width of 3 feet. What’s the perimeter of the garden?

I. The outer perimeter of the walk away is 124 feet

II. The area of the garden is 600 square feet.


 

Option A:

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.

Option B:

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.

Option C:

BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.

Option D:

EACH statement ALONE is sufficient to answer the question asked.

Option E:

Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

Difficulty Level

Hard

Solution

Option A is the correct answer.


Option Analysis

The statement says the uniform width of the walkway is 3 feet. Nothing more info on that.

Statement I is sufficient: We know the outer perimeter as 124 ft. So we can find the length and width. And if we subtract the 3 feet (Uniform) from both length and breadth we find the perimeter of the garden- Sufficient.

Statement II is insufficient: we know the area, but we do not know whether the area includes the walkway or not. Also, in either case, we may have multiple values of length and breadth which can give the area of 600 feet. So In-sufficient