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OG L-shaped garden

This topic has 1 expert reply and 0 member replies
AbeNeedsAnswers Master | Next Rank: 500 Posts Default Avatar
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OG L-shaped garden

Post Tue Aug 22, 2017 7:47 pm
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    ttps://postimages.org/" target="_blank">

    The figure above represents an L-shaped garden. What is the value of k?

    (1) The area of the garden is 189 square feet.
    (2) The perimeter of the garden is 60 feet.

    A

    Need free GMAT or MBA advice from an expert? Register for Beat The GMAT now and post your question in these forums!
    Post Wed Aug 30, 2017 10:13 am
    Hi AbeNeedsAnswers,

    We're asked for the value of K in the drawing. While we normally have to be careful about trusting a picture in a DS question, we can trust the data in the drawing. We know that all of the angles are right angles and we know that the L-shaped garden is essentially a big square with a small square-shaped corner removed (and the length of a side on that square is (15-K)).

    1) The area of the garden is 189 square feet.

    A 15ft x 15ft square would have an area of 225 sq. ft. Since the garden is 189 sq ft., we know the missing corner = 225 - 189 = 36 sq. ft. This means that each side of that little square would have to be 6. Thus, 15 - K = 6, so K = 9.
    Fact 1 is SUFFICIENT

    2) The perimeter of the garden is 60 feet.

    With this Fact, we can create the following equation (where X is one of the unlabeled sides):
    15 + 15 + K + K + X + X = 60
    2K + 2X = 30
    K + X = 15

    This is NOT new information (we knew this from the prompt). Thus, K could be any value in the range of 0 < K < 15.
    Fact 2 is INSUFFICIENT

    Final Answer: A

    GMAT assassins aren't born, they're made,
    Rich

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