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The smaller rectangle in the figure

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boomgoesthegmat Senior | Next Rank: 100 Posts Default Avatar
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The smaller rectangle in the figure

Post Tue May 03, 2016 2:50 pm
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    ttp://postimg.org/image/6frj516xt/" target="_blank">

    The smaller rectangle in the figure above represents the original size of a parking lot before its length and width were each extended by w feet to make the larger rectangular lot shown. If the area of the enlarged lot is twice the area of the original lot, what is the value of w?

    A) 25
    B) 50
    C) 75
    D) 100
    E) 200

    OA: E

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    OptimusPrep Master | Next Rank: 500 Posts
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    Post Tue May 03, 2016 7:15 pm
    boomgoesthegmat wrote:
    ttp://postimg.org/image/6frj516xt/" target="_blank">

    The smaller rectangle in the figure above represents the original size of a parking lot before its length and width were each extended by w feet to make the larger rectangular lot shown. If the area of the enlarged lot is twice the area of the original lot, what is the value of w?

    A) 25
    B) 50
    C) 75
    D) 100
    E) 200

    OA: E
    Original Area = 100*150 sq ft = 15,000
    Area of the enlarged parking lot = 30,000 sq ft.

    (100 + w)*(150 + w) = 30,000
    At this point, we can either solve the quadratic equation for w, or test the options.
    Testing the options.

    Option A: w cannot be 25, because when 2 numbers ending with 5 are multiplied, the resultant also has a units digit of 5. But we need the units digit 0

    Option B: w = 50
    (100 + 50)*(150 + 50) = 150*200 = 30,000
    Correct Option: B

    @boomgoesthegmat, I think you need to recheck the OA for this one.

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