Joanna plans on hanging 3 pictures of different sizes on the wall of her staircase. She thinks it will look best if all 3 rectangular pictures are similar. The two sizes she has already are 25 in. by 35 in.and 35 in. by 49 in. Which of the following is a possible size of the third picture?

A.
5 in. by 6 in.
B.
30 in. by 42 in.
C.
45 in. by 70 in.
D.
50 in. by 63 in.

Question

Joanna plans on hanging 3 pictures of different sizes on the wall of her staircase. She thinks it will look best if all 3 rectangular pictures are similar. The two sizes she has already are 25 in. by 35 in.and 35 in. by 49 in. Which of the following is a possible size of the third picture?   

A.
5 in. by 6 in.
B.
30 in. by 42 in.
C.
45 in. by 70 in.
D.
50 in. by 63 in.

anonymous · Answer

@d3Xter

anonymous · Answer

The three pictures seem like they have same ratios to their sizes 

$$\frac{ 25 }{ 35 } = \frac{ 35 }{ 49 } \rightarrow  \frac{ 5 }{ 7 }$$

anonymous · Answer

Work out which of the option has the same ratio as above. That should be the next possible picture frame.