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algebra

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A triangle has an area of 20 inches squared. Every dimension of the triangle is multiplied by a scale factor, and the new triangle has an area of 180 inches squared. What is the scale factor.

  • algebra - ,

    if a rectangle (or any 2-dimensional figure) is scaled by a factor of n, then

    length l becomes nl
    width w becomes nw
    area lw becomes (nl)(nw) = n^2(lw) = n^2 times the old area

    For your rectangle, the new area is 9 times the old area, so the scale factor is √9 = 3

  • algebra 1 - ,

    a triangle has an area of 20 inches squared. every dimension of the triangle is multiplied by a scale factor, and the new triangle has an area of 180 inches squared. what was the scale factor?

  • algebra - ,

    9

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