Question

A holiday resort has rectangular-shaped pools, including a swimming pool for adults and a wading pool for children. The two pools are similar in shape and have dimensions, in meters, as shown in the figure below.

A swimming pool with 30 as lenght and 18 as width and a smaller one to the side with x+ 2 as lenght and x as width

What is the value, in meters, of x?

A. 3
B. 5
C. 7
D. 9

I believe the answer is A, is that right?

Heres my reasoning!
18/30 = x/(x + 2)
18(x + 2) = 30(x)
18x + 36 = 30x
36 = 12x
x= 3m

Is this right?