A rectangular pool is 40 feet by 20 feet. The portion of the pool that is reserved for recreational swimming is 20 ft by 10 ft. The rest of the pool is reserved for the swim team. How many square feet are reserved for the swim team?

Respuesta :

The answer is 30ft by 10ft.

Answer:

The area reserved for the swim team is 600 square feet.

Step-by-step explanation:

Given : A rectangular pool is 40 feet by 20 feet. The portion of the pool that is reserved for recreational swimming is 20 ft by 10 ft. The rest of the pool is reserved for the swim team.

To find : How many square feet are reserved for the swim team?

Solution :

Dimension of a rectangular pool is 40 feet by 20 feet.

The area of the rectangular pool is

[tex]A_R=L\times B[/tex]

[tex]A_R=40\times 20[/tex]

[tex]A_R=800 ft.^2[/tex]

Dimension of a recreational swimming pool is 20 ft by 10 ft.

The area of the recreational swimming pool is

[tex]A_r=l\times b[/tex]

[tex]A_r=20\times 10[/tex]

[tex]A_r=200 ft.^2[/tex]

If we subtract the area of the recreational swimming pool from the total area of rectangular pool we get the area reserved for swim team.

[tex]A_R-A_r=800-200=600 ft.^2[/tex]

Therefore, The area reserved for the swim team is 600 square feet.

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