Algebraic Proportions help:
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.

What is the value, in meters, of x?
3
5
7
9

Do I just substitute the the numbers for x and find which one forms a proportion?

Question

Algebraic Proportions help:
 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.

What is the value, in meters, of x?
3
5
7
9

Do I just substitute the the numbers for x and find which one forms a proportion?

anonymous · Answer

attachment

hartnn · Answer

since the rectangles are similar, their sides are proportional, so, 
$\huge \dfrac{x+2}{30}=\dfrac{x}{18}$
can you solve this for 'x' ?

hartnn · Answer

their "corresponding" sides are proportional

anonymous · Answer

I think the solution would then be 3

hartnn · Answer

thats correct :)
did you solve it and got or it was just a guess :P

anonymous · Answer

I have a calculator near me. I've been doing lots of homework :)

anonymous · Answer

I just wanted to make sure that I could understand it without having to put everything in a calculator.

hartnn · Answer

ok, so did you understand ?

anonymous · Answer

Yeah, I've got it now. Thank you! :)

hartnn · Answer

welcome ^_^