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Math Help - gcse paper question,total cost of land sold per squire meter

  1. #1
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    gcse paper question,total cost of land sold per squire meter

    Hi. Im trying to help my nephew with his gcse paper. the question is about a man who has land. this is shown in a triangle shape, with the 2 sides 112m long each and the bottom 95 m. it says he sells the land at 55 pence per squire metre. how much does he get for the land. its worth 7 marks. the measurements are not squired so i really don't know how to go about it. any help will be greatly appreciated.
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  2. #2
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    Re: gcse paper question,total cost of land sold per squire meter

    Hello, Tash!

    A man has land in a triangle shape, with the 2 sides 112m long each and the bottom 95m.
    He sells the land at 55 pence per square metre.
    How much does he get for the land?

    We must find the area of the triangle, right?

    Code:
                  *
                 /|\
                / | \
               /  |  \
          112 /   |   \ 112
             /    |h   \
            /     |     \
           /      |      \
          *-------*-------*
          :  47.5 :  47.5 :
    Pythagorus says: . h^2 + 47.5^2 \:=\:112^2

    Hence: . h \:=\:\sqrt{112^2 - 47.5^2} \:=\:\sqrt{10,\!287.75} \;\approx\;101.43

    You know the base and height of the triangle.
    . . You can find the area of the triangle.

    Then you can find the value of the land.
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  3. #3
    Forum Admin topsquark's Avatar
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    Re: gcse paper question,total cost of land sold per squire meter

    Quote Originally Posted by Tash View Post
    Hi. Im trying to help my nephew with his gcse paper. the question is about a man who has land. this is shown in a triangle shape, with the 2 sides 112m long each and the bottom 95 m. it says he sells the land at 55 pence per squire metre. how much does he get for the land. its worth 7 marks. the measurements are not squired so i really don't know how to go about it. any help will be greatly appreciated.
    Please do not post questions that are for credit (homework, quizzes, exams, etc.)

    -Dan
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    Re: gcse paper question,total cost of land sold per squire meter

    topsquark, this will be a past paper they are practicing.
    Thanks from topsquark
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