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renknee

Answer:

4322.64 ft^2

Step-by-step explanation:

Diameter: [tex]\frac{radius}{2}[/tex]

Area of circle: [tex]\pi r^2[/tex]- r = radius

Area of rectangle: [tex]l * w[/tex]- l = length, w = width

The area of the family's backyard is 110 × 50 = 5500 feet. Now, let's find the area of the circular swimming pool.

  • Radius: 36/2 = 18
  • [tex]3.14*18^2[/tex]
  • [tex]3.14 * 324[/tex]
  • [tex]1017.36[/tex]

Next, we find the area of the concrete walkway.

  • [tex]40 * 4[/tex]
  • [tex]160[/tex]

After that, we add the area of the circular pool and walkway.

  • [tex]1017.36 + 160[/tex]
  • [tex]1177.36[/tex]

Lastly, subtract 1177.36 from 5500.

  • [tex]5500 - 1177.36[/tex]
  • [tex]4322.64[/tex]  

Therefore, the answer is 4322.64.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

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