The side lengths of two similar solids are in the ratio 1:3 what is the ratio of the area

Answer 1

I agree that the answer is 1:9. But, here is why. Area is 2-dimensional. Imagine a square, for example. If the side lengths of the smaller square are 1 cm, it's area would be 1 cm³. But, a larger square with side lengths of 3 cm would have an area of 9 cm².

So, the side lengths would have a ratio of 1:3, but the areas would be 1:9.

You can use any numbers you'd like that have that 1:3 ratio to them. You will find that the areas will always have a 1:9 ratio (for example, 25:225).

Hope this helps!

Answer 2

The ratio of the areas is 1 : 9