Data Sufficiency

sparkles3144 wrote:What is the length in meters of a certain rectangular garden?

(1) The length of the garden is 6 meters more than twice the width.

(2) The length of the garden is 4 times the width

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Let L = length of garden
Let W = width of garden

Target question: What is the value of L?

Statement 1: The length of the garden is 6 meters more than twice the width.
In other words, L = 2W + 6
Since this equation does not provide sufficient information to find the value of L, statement 1 is NOT SUFFICIENT

Statement 2: The length of the garden is 4 times the width
In other words, L = 4W
Since this equation does not provide sufficient information to find the value of L, statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined:
We now know that:
L = 2W + 6
L = 4W
Since both equations equal L, we can write: 2W + 6 = 4W
Rearrange: 6 = 2W
Solve: 3 = W

If W = 3, then L = 12
Since we can now answer the target question with certainty, the combined statements are SUFFICIENT

Answer = C

Cheers,
Brent