Question

· The perimeter of a rectangular swimming pool is 92 feet. The width of

ne pool is 21 feet. What would be the length of the pool?

Answer 1

`\huge \fbox{ \sf{25 \: feet}}`

Explanation:

`\star{ \sf{ \: Perimeter \: of \: a \: rectangular \: swimming \: pool \: ( \: P \: )= 92 \: feet}}`

`\star{ \sf{ \: Width \: of \: a \: rectangular \: swimming \: pool(W) = 21 \: feet}}`

`\underline{ \sf{ \: Finding \: the \: length \: of \: the \: pool \: ( \: l \: ) : }}`

`\boxed{ \sf{Perimeter \: of \: a \: rectangle = 2(length + width)}}`

`\mapsto{ \sf{92 = 2(l+ 21)}}`

`\text{ Step \: 1 \: : Distribute \: 2 \: through \: the \: parentheses}`

`\mapsto{ \sf{92 = 2l + 42}}`

`\text{Step \: 2 \: : Swap \: the \: sides \: of \: the \: equation}`

`\mapsto{ \sf{2l + 42 = 92}}`

`\text{Step \: 3 \: : Move \: 42 \: to \: right \: hand \: side \: and \: change \: its \: sign}`

`\mapsto{ \sf{2l = 92 - 42}}`

`\text{Step \: 4 \: : Subtract \: 42 \: from \: 92}`

`\mapsto{ \sf{2l = 50}}`

`\text{Step \: 5 \: : Divide \: both \: sides \: by \: 2}`

`\mapsto{ \sf{ (2l)/(2) = (50)/(2) }}`

`\text{Step \: 6 \: : Calculate}`

`\mapsto{ \sf{l = 25 \: feet}}`

The length of the rectangular swimming pool = 25 feet

Hope I helped!

Best wishes !!

~
`\text{TheAnimeGirl}`

Answer 2

the length of the pool is 25 feet.