Answer:
The dimension of the rectangular pool is [tex]112.5\times 37.5[/tex]
Step-by-step explanation:
Given : A rectangular swimming pool is three times as long as it is wide. If the perimeter of the soccer field is 300 yards.
To find : What are the dimensions?
Solution :
Let the width of the rectangular pool be 'x'.
A rectangular swimming pool is three times as long as it is wide.
The length of the pool be '3x'
The perimeter of the rectangular swimming pool is [tex]P=2(l+w)[/tex]
The perimeter of the soccer field is 300 yards.
Substitute the value in the formula,
[tex]300=2(3x+x)[/tex]
[tex]300=2\times 4x[/tex]
[tex]300=8x[/tex]
[tex]x=\frac{300}{8}[/tex]
[tex]x=37.5[/tex]
The width of the pool is x=37.5 unit
The length of the pool is [tex]3x=3(37.5)=112.5[/tex]
Therefore, The dimension of the rectangular pool is [tex]112.5\times 37.5[/tex]
