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A rectangular swimming pool has a length twice as long as it’s width. The pool has a sidewalk around it that is 2 feet wide. Write an expression that would help you find the area of the pool and it’s sidewalk.

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opudodennis

Answer:

Pool area=Inner rectangle=[tex]2x^{2}[/tex]

Area of walkway=[tex]12x+16[/tex]

Step-by-step explanation:

Let the width of the rectangular swimming pool be x

so, length will be 2x

Area of walkway = area of outer rectangle - area of inner rectangle

Area of outer rectangle=[tex](x+4)*(2x+4)=2x^{2}+12x+16[/tex]

Area of inner rectangle=[tex]x*2x=2x^{2}[/tex]

Area of walkway=[tex]2x^{2}+12x+16-2x^{2}=12x+16[/tex]

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