Can someone please explain the rules behind proportionality of areas? The answer is 378 and I’m not understanding why you are taking the square of the ratio (3^2) and multiplying that by 42…
Since the segments are same length, the large triangle’s sides are 3 times bigger than the small triangle’s sides yeah? Area is base times height divided by 2, so the area of the large triangle is: 3base_of_small3*height_of_small/2. That means the area of the big triangle is 9 times the area of the small triangle rather than 3. As a rule of thumb you can remember that perimeter will scale linearly, area will scale ^2 and volume will scale ^3.
Hope that’s correct and it helps you in some way!
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Got it so if similar triangles, each side and perimeter scales linearly (if 2x on one side, it’s 2x on the perimeter and each of the sides as well) but multiples for area?