Question

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

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