You buy two picture frames that are similar. The ratio of the corresponding sine lengths is 4:5. What is the ratio of the areas?

Question

what is the best way to solve this question for math? 

Answer 1

Let us call the frames A and B

The two sides of A are Ax and Ay

The two sides of B are Bx and By

 

Bx       4

---- = ----

Ax       5

 

Bx = (4*Ax)/5

 

As they are similar: By = (4*Ay)/5

 

Area of A = Ax*Bx

Area of B = Ay*By = (16*Ax*Ay)/25

 

Area of B         16

----------- =   -------

Area of A          25