math 8th grade

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if length and width of a 3in. x5 ln. photo are tripled what scale factor relates the area 3,9,12,27 i answered 27 is this correct i tried 9 but got no answer

  • math 8th grade -

    recall that area of rectangle (shape of the photo) is given by
    A = length * width
    substituting,
    A (original) = 3 * 5 = 15
    if we triple both length and width,
    new length = 3 * 5 = 15
    new width = 3 * 3 = 9
    thus,
    A (new) = 15 * 9 = 105
    to get the ratio, we divide the new area by original area:
    105 / 15 = 9

    hope this helps~ :)

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