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Math Help - Concrete Path and Garden

  1. #1
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    Concrete Path and Garden

    A city council builds a 0.5 m concrete path around the garden as shown below.

    Find the cost of the job if the workman charges $40.00 per square metre.


    I apologise for my unprofessional reconstruction. All measurements are given in metres.
    Attached Thumbnails Attached Thumbnails Concrete Path and Garden-area-concrete-path.jpg  
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  2. #2
    MHF Contributor alexmahone's Avatar
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    Last edited by alexmahone; July 5th 2009 at 11:09 PM. Reason: arze's method is correct.
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  3. #3
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    Quote Originally Posted by JadeKiara View Post
    A city council builds a 0.5 m concrete path around the garden as shown below.

    Find the cost of the job if the workman charges $40.00 per square metre.


    I apologise for my unprofessional reconstruction. All measurements are given in metres.
    since you know all the dimensions, add 0.5m to each side. adding to your diagram would be best. then you can look at it as many rectangles, the widths are always 0.5m.
    starting from the top left corner of the figure and going clockwise we can write the are as:
    area=0.5*(5+0.5+0.5) + 0.5*12 + 0.5*(5+3+0.5+0.5) + 0.5*(12-8) + 0.5*3 + 0.5*8
    then with this value, multiply it by $40/sqm and you have the answer!
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  4. #4
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    Sono stupido!

    I am awfully sorry! My brain is frazzled this afternoon - I had 4 hours' sleep. This problem is easier than I thought. For some reason unbeknownst to me, I thought I was dealing with perimeter of the path.

    Perhaps you can help solve my other problem on Designing a Rug?
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