Answer:
9 yards
Step-by-step explanation:
Since both pools are similar, therefore the ratio of their length and width would be equal. That is:
Length of the current swimming pool : length of the new swimming pool = width of the current swimming pool : width of the new swimming pool
Thus, we can set up a proportion as shown below:
Let the width of the new swimming pool be x.
40 : 24 = 15 : x
[tex] \frac{40}{24} = \frac{15}{x} [/tex]
Cross multiply
[tex] 40*x = 15*24 [/tex]
[tex] 40x = 360 [/tex]
Divide both sides by 40
[tex] x = \frac{360}{40} [/tex]
[tex] x = 9 [/tex]
The width of the new swimming that is smaller would be 9 yards.