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Math Help - rectangular garden problem

  1. #1
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    rectangular garden problem

    For some reason I just can't visualize this (and so I can't solve it). But I do know that the answer should come out to 8.

    Your neighbor is planning to fence a 10ft by 15ft rectangular plot of ground to use as a garden. She intends to plant a 1ft wide border of flowers along the inside of the entire perimeter. The rectangular section surrounded by this border will be planted with vegetables in 11-foot-long rows parallel to the longer sides. Now, when your neighbor plants the vegetables, she wants the center lines of adjacent rows to be at least 10 inches apart. She also wants the center lines of the outermost rows to be at least 10 inches from the inner edge of the flower border. According to these planting restrictions, what is the maximum number of 11-foot-long rows of vegetables that could be planted within this garden plot?
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  2. #2
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    The vegetables will be planted in a 8ft by 13ft rectangle...OK?
    The width of 8 feet = 96 inches...OK?
    96 inches accomodates 9 "10 inches" widths...OK?
    9 "10 inches" widths accomodates 8 rows...OK?

    .................................edge
    10
    .................................row
    10
    .................................row
    10
    .................................row
    10
    .................................row
    10
    .................................row
    10
    .................................row
    10
    .................................row
    10
    .................................row
    16
    .................................edge

    Hope that's sufficient for you to visualize this...
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  3. #3
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    I'm not sure how you got the 8ft by 13ft dimension? How can we conclude this? I guess I just have trouble still seeing the rows with the 10 inches and the fitting into the original dimensions (minus the 1ft border)--the orientation is confusing still..
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  4. #4
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    Hello

    I'll convert to inches.

    10*12=120.

    That's the space within which the rows have to fit.

    I would assume that the two veg rows are placed as near as possible to the flower border and then calculate the distance between them.

    so 120-(2*flower border (24) -(2*minimum distance from flower border to center of veg row(20))
    Then take from this figure one more space and divide by 10...

    I think the previous poster will help you to visualise this much better.
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  5. #5
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    8*13 is what your left with when you take the flower bed off. The 13 is not relevent to the problem
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  6. #6
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    Ahh that does make sense now, and your sketch too Wilmer. Thanks!
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  7. #7
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    Quote Originally Posted by dannyc View Post
    i'm not sure how you got the 8ft by 13ft dimension?
    Code:
    ..................15.......................
    . 1..............13..................... 1.
    . .                                     . .
    . .                                    8. .10
    . .                                     . .
    . ....................................... .
    ...........................................
    ok?
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