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what is the Sq m of this plot?

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  • 05-01-2012 5:33pm
    #1
    Registered Users Posts: 1,835 ✭✭✭


    OK a plot of land, kind of cone shaped, 13 m at one end, 19 m at the other and 117 m long, what is the total Sq m of this area?

    Thanks


Comments

  • Moderators, Science, Health & Environment Moderators Posts: 1,847 Mod ✭✭✭✭Michael Collins


    Can you clarify the exact shape? Are you talking about a trapezium

    Trapezoid.svg

    by any chance?

    If so the area is just the average of the two sides multiplied by the height, i.e.

    [latex] \displaystyle \frac{a+b}{2} \times h [/latex]


  • Registered Users Posts: 1,835 ✭✭✭CamperMan


    this is the shape

    pic5.jpg


  • Moderators, Science, Health & Environment Moderators Posts: 1,847 Mod ✭✭✭✭Michael Collins


    Yep, that's a trapezium with:

    a = 19 m
    b = 13 m
    h = 117 m

    so the area would be:

    [latex] \displaystyle \frac{a+b}{2}\times h = \frac{19+13}{2}\times 117 = 1, 872\hbox{ m}^2[/latex]

    i.e. nearly half an acre in old money.

    I probably should have explained the trapezium shape a bit better. The two sides shown in my last post can be any angle - all you need for a trapezium is two parallel lines (the top and bottom in the pic), and then two straight lines to complete the shape (quadrilateral).


  • Registered Users Posts: 1,835 ✭✭✭CamperMan


    thanks Michael!

    Simon


  • Moderators, Science, Health & Environment Moderators Posts: 1,847 Mod ✭✭✭✭Michael Collins


    No bother at all.


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