Question

the perimeter of a swimming pool is 94 feet. The length must be 2 feet more than twice the width. What are the dimensions of the pool?

Answer 1

According to the given information, the perimeter of the swimming pool is 94. Let l and w be the length and width of the pool, the perimeter is represented by the following equation:

`2l+2w=94`

Also, it is given that the l is two feet more than w:

`l=w+2`

Use the second equation and replace l in the first equation for this expression, then, solve for w:

`\begin{gathered} 2(w+2)+2w=94 \\ 2w+4+2w=94 \\ 4w+4=94 \\ 4w=90 \\ w=(90)/(4) \\ w=22.5 \end{gathered}`

Use the second equation to find l:

`\begin{gathered} l=w+2 \\ l=22.5+2 \\ l=24.5 \end{gathered}`

It means that the length of the pool is 24.5 and the width is 22.5.