Answer:
The length of the pool = 14 yards
The width of the pool = 77 yards
Explanation:
The perimeter of the swimming pool = 182 yards
Let the length of the pool = l
The width of the pool is 7 yards more than five times the length.
Therefore:
• The width of the pool, w= 5l+7
Perimeter of a Rectangle = 2(Length + Width)
Therefore:
[tex]\begin{gathered} 182=2(l+5l+7) \\ 182=2(6l+7_{}) \\ 182=12l+14 \\ 12l=182-14 \\ 12l=168 \end{gathered}[/tex]Next, we divide both sides by 12
[tex]l=14\text{ yards}[/tex]The length of the pool = 14 yards
Next, we find the width:
[tex]\begin{gathered} w=5l+7 \\ =5(14)+7 \\ =70+7 \\ w=77\text{ yards} \end{gathered}[/tex]The width of the pool = 77 yards
