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Math Help - Area of scaled down triangle

  1. #1
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    Area of scaled down triangle

    ABC is a triangle with height of 4 cm and base of 7 cm,drawn to a scale of 1cm:3km. Find the actual area of the triangle.

    How to solve such questions ?
    Last edited by mr fantastic; July 4th 2010 at 03:02 PM. Reason: Re-titled.
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  2. #2
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    Quote Originally Posted by haftakhan View Post
    ABC is a triangle with height of 4 cm and base of 7 cm,drawn to a scale of 1cm:3km. Find the actual area of the triangle.

    How to solve such questions ?
    area of a triangle is A = \frac{1}{2} bh

    if the length scale is a:b , then the area scale is a^2:b^2
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  3. #3
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    A=1/2*(4*3)(7*3)
    A=126km square

    Right ?
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    Right!
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  5. #5
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    Quote Originally Posted by haftakhan View Post
    A=1/2*(4*3)(7*3)
    A=126km square

    Right ?
    Yes, that is correct. Skeeters point was this: A triangle with height 4 cm and base 7 cm has area (1/2)(4)(7)= 2(7)= 14 square cm. Since the scale is "1 cm to 3 km", and area is "length squared", that becomes 9*14 square km= 126 square km. Of course, the way you didn't is perfectly correct (and better than following someone else's method).
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