Question

picture attached: A holiday resort has two 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?

Answer 1

picture

Answer 2

you can use pretty much any ratio you like

Answer 3

here are the choices


What is the value, in meters, of x?
Answer
4
2
5
1

Answer 4

for example
\[\frac{20}{2x}=\frac{30}{2x+2}\] which is somewhat annoying because the variables are in the denominator
so you can also use
\[\frac{2x}{10}=\frac{2x+2}{30}\] or even
\[\frac{20}{30}=\frac{2x}{2x+2}\]

Answer 5

pick one and we can solve it

Answer 6

4

Answer 7

i meant pick a ratio, one of the ones i wrote above
we can solve any of them, they are all the same

Answer 8

last 1

Answer 9

ok start with
\[\frac{20}{30}=\frac{2x}{2x+2}\] now probably best thing to do is reduce to get
\[\frac{2}{3}=\frac{2x}{2x+2}\] then we can cross multiply to get the variable out of the denomiator and write
\[2(2x+2)=3\times 2x\] and i bet you can solve it form here

Answer 10

so 4x + 4 = 3 * 2x ?

Answer 11

yes maybe write \(4x+4=6x\)

Answer 12

then 8x = 6x?

Answer 13

careful here
\(4x\) and 4 are not like terms. you cannot add them
subtract \(4x\) from both sides

Answer 14

so 4 = 2x?

Answer 15

\[4x+4=6x\]
\[4=6x-4x\]
\[4=2x\]

Answer 16

right. now divide by 2 and you are done

Answer 17

sorry OS crashed again for me... so 2 = x?

Answer 18

yes you got it
so one side is \(2\times 2=4\) and the other is \(2\times 2+2=6\)

Answer 19

but your question said solve for \(x\) so your answer is 2

Answer 20

gotta run, good work

Answer 21

alright got it. Thanks Satellite73 :)