Question

The perimeter of a rectangular swimming pool is 182 yards. The width of thepool is 7 yards more than five times the length. Find the length and thewidth.

Answer 1

The length of the pool = 14 yards

The width of the pool = 77 yards

Step-by-step 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:

`\begin{gathered} 182=2(l+5l+7) \\ 182=2(6l+7_{}) \\ 182=12l+14 \\ 12l=182-14 \\ 12l=168 \end{gathered}`

Next, we divide both sides by 12

`l=14\text{ yards}`

The length of the pool = 14 yards

Next, we find the width:

`\begin{gathered} w=5l+7 \\ =5(14)+7 \\ =70+7 \\ w=77\text{ yards} \end{gathered}`

The width of the pool = 77 yards