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.



What is the value, in meters, of x?

3

5

7


(Picture in comments)

Answer 1

a)3
b)5
c)7
d)9

Answer 2

do you know what makes two polygons SIMILAR?

Answer 3

proportionate sizing?

Answer 4

yes, so, from the picture we could say that

18(ratio) = x and
30(ration) = x+2

let's call that ratio, "y", so

18y = x and
30y = x+2


now, from the 1st equation, we know x = 18y, so let's use that in the 2nd equation as

30y = (18y)+2

from there, just solve by "y", and that's your ratio

Answer 5

so it would be 18/30 = x/(x + 2)
18(x + 2) = 30(x)
18x + 36 = 30x
36 = 12x
x= 3m?

Answer 6

yes

Answer 7

the ratio is \(\frac{1}{6}\) from the bigger pool to the smaller one

Answer 8

so, 18/6 is 3 :)

Answer 9

Thanks!(: