Answer:
[tex] \huge \fbox{ \sf{25 \: feet}}[/tex]
Step-by-step explanation:
[tex] \star{ \sf{ \: Perimeter \: of \: a \: rectangular \: swimming \: pool \: ( \: P \: )= 92 \: feet}}[/tex]
[tex] \star{ \sf{ \: Width \: of \: a \: rectangular \: swimming \: pool(W) = 21 \: feet}}[/tex]
[tex] \underline{ \sf{ \: Finding \: the \: length \: of \: the \: pool \: ( \: l \: ) : }}[/tex]
[tex] \boxed{ \sf{Perimeter \: of \: a \: rectangle = 2(length + width)}}[/tex]
[tex] \mapsto{ \sf{92 = 2(l+ 21)}}[/tex]
[tex] \text{ Step \: 1 \: : Distribute \: 2 \: through \: the \: parentheses}[/tex]
[tex] \mapsto{ \sf{92 = 2l + 42}}[/tex]
[tex] \text{Step \: 2 \: : Swap \: the \: sides \: of \: the \: equation}[/tex]
[tex] \mapsto{ \sf{2l + 42 = 92}}[/tex]
[tex] \text{Step \: 3 \: : Move \: 42 \: to \: right \: hand \: side \: and \: change \: its \: sign}[/tex]
[tex] \mapsto{ \sf{2l = 92 - 42}}[/tex]
[tex] \text{Step \: 4 \: : Subtract \: 42 \: from \: 92}[/tex]
[tex] \mapsto{ \sf{2l = 50}}[/tex]
[tex] \text{Step \: 5 \: : Divide \: both \: sides \: by \: 2}[/tex]
[tex] \mapsto{ \sf{ \frac{2l}{2} = \frac{50}{2} }}[/tex]
[tex] \text{Step \: 6 \: : Calculate}[/tex]
[tex] \mapsto{ \sf{l = 25 \: feet}}[/tex]
The length of the rectangular swimming pool = 25 feet
Hope I helped!
Best wishes !!
~[tex] \text{TheAnimeGirl}[/tex]
