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math Ms. Sue

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A right triangle has an area of 13 m2. The dimensions of the triangle are increased by a scale factor of 3. What is the area of the new triangle?
39 m2
169 m2
117 m2
142 m2

I think it is A...?

  • math Ms. Sue -

    nope. If each dimension is scaled by three, the area is scaled by 3^2, so (C).

    recall that the area

    a = 1/2 bh

    If b and h are replaced by 3b and 3h, then

    new area
    A = 1/2 (3b)(3h) = 1/2 9bh = 1/2 bh * 9, or 9a

  • math Ms. Sue -

    177

  • math Ms. Sue -

    yaya its 177 :D

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