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:
[tex]2l+2w=94[/tex]Also, it is given that the l is two feet more than w:
[tex]l=w+2[/tex]Use the second equation and replace l in the first equation for this expression, then, solve for w:
[tex]\begin{gathered} 2(w+2)+2w=94 \\ 2w+4+2w=94 \\ 4w+4=94 \\ 4w=90 \\ w=\frac{90}{4} \\ w=22.5 \end{gathered}[/tex]Use the second equation to find l:
[tex]\begin{gathered} l=w+2 \\ l=22.5+2 \\ l=24.5 \end{gathered}[/tex]It means that the length of the pool is 24.5 and the width is 22.5.
