The pool's dimension are l = 2.7 m and w = 1.2 m
Step-by-step explanation:
Step 1 :
Given
The pool's perimeter = 7.8 m
Four times the pool's length = nine times the pool's width.
=> 4l = 9w => l = ([tex]\frac{9}{4}[/tex]) w
Where l is the pool's length and w is the pool's width
Step 2:
The rectangle's formula for perimeter is 2 (l+w)
Substituting l = ([tex]\frac{9}{4}[/tex]) w ,
2[ ([tex]\frac{9}{4}[/tex]) w + w] = 7.8 (given)
([tex]\frac{13}{2}[/tex]) w = 7.8 = > w = 1.2 m
Step 3 :
l = ([tex]\frac{9}{4}[/tex]) w = ([tex]\frac{9}{4}[/tex]) 1.2 = 2.7
l = 2.7 m
Step 4 :
Answer :
The pool's dimension are l = 2.7 m and w = 1.2 m
