Kyra is using rectangular tiles of two types for a floor design. a tile of each type is shown below.

which statement is correct?
a.) the two tiles are similar because is 1 : 3 and is also 1 : 3.
b.) the two tiles are similar because is 3 : 2 and is also 3 : 2.
c.) the two tiles are not similar because is 1 : 6 and is 1 : 3.
d.) the two tiles are not similar because is 5 : 1 and is 2 : 3.

A.) The two tiles are similar because is 1 : 3 and is also 1 : 3.

Step-by-step explanation:

If you can calculate the sides of each tile you can get the ratio from the base to the height, in this case the side j-k measures 1 unit, and the side J-M measures 3, in this case the aspect ratio is 3:1.

And in the second tile the side P-Q is 2 units long, and the side P-S is 6 units long, now the aspect ratio would be: 6:2, if you reduce this it´d be 3:1.

Since both have an aspect ratio of 3:1 they are similar.

6mm^3 or .6cm^3

      216

      /   \

  36     6

  /   \     /

6     6   6

factor trees are nice.

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)