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Math Help - area of the path

  1. #1
    rcs
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    area of the path

    A rectangular grass lawn. 30m by 24m has a concrete path 2m
    around inside it. What is the areas of the path?


    Can anybody explain and illustrate what the problem means?


    in my attempt: 3o m x 24 m = Area

    and what about the 2m path ... how it is being done?
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  2. #2
    MHF Contributor MarkFL's Avatar
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    Re: area of the path

    Draw a diagram, and look at the area of the rectangular area of grass and concrete, and subtract the rectangular area of the grass. What are the dimensions of both?
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  3. #3
    MHF Contributor ebaines's Avatar
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    Re: area of the path

    If I understand your question correctly, the path is 2m wide and is aligned with its outside edge coincident with the outsode edge of the 24m x 30m area, correct? To determine the area of the path you can approach it in two ways. First, draw a sketch, label the dimensions of the path, and you will have 4 rectangular sections - to find the total area of the path find the area of each section and add them up. An alternative approach is to consider that the area interior to the path is a rectangle that is 26m x 20m, and the area of the path is the difference between the overall area of 30 x 24m and this interior area.
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    rcs
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    Re: area of the path

    Quote Originally Posted by MarkFL2 View Post
    Draw a diagram, and look at the area of the rectangular area of grass and concrete, and subtract the rectangular area of the grass. What are the dimensions of both?
    can i ask favor sir ? if you could draw it.... please...
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    Re: area of the path

    Quote Originally Posted by rcs View Post
    can i ask favor sir ? if you could draw it.... please...
    See here for a similar picture.
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    rcs
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    Re: area of the path

    Quote Originally Posted by emakarov View Post
    See here for a similar picture.

    can this be the answer: 2(2x30) m^2 + 2(2x20) m^2 = 200 m^2 for the area of the path?
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  7. #7
    MHF Contributor ebaines's Avatar
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    Re: area of the path

    Quote Originally Posted by rcs View Post
    can this be the answer: 2(2x30) m^2 + 2(2x20) m^2 = 200 m^2 for the area of the path?
    Yes, that's it.
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    Re: area of the path

    Now that you have done it yourself (very nicely), a simpler way to think about it is this: draw a 30 by 24 rectangle and then draw a line 2 inside each side to represent the walk way. Do you see that, because you are using 2 m on each side for the walk, the area left for the garden itself is 2 m on each side smaller? This gives a smaller rectangle with length and width 30- 2(2)= 26 and 24- 2(2)= 20 m?

    The larger rectangle has area 30(2)= 720 square feet while the smaller "garden" area is 26(20)= 520 square meters. That leaves 720- 520= 200 square meters, as you get, for the path.
    Last edited by HallsofIvy; December 6th 2012 at 09:04 AM.
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  9. #9
    rcs
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    Re: area of the path

    Thank you all
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