Brianna2019s Parents Built A Swimming Pool In The Backyard. Brianna Says That The Distance Around The Pool Is 120 Feet. Is She Correct? Explain Your R

Brianna's parents built a swimming pool in the backyard. Brianna says that the distance around the pool is 120 feet. Is she correct? Explain your reasoning, or show your work.

 

Answer:

No, Brianna is not correct.  

The distance around the pool is 131.4 ft.

Step-by-step explanation:

The distance around the pool are:

1) Semi circle with a diameter equal to the side opposite it, 20 ft.

Find the length of half the circle:

Circumference  of semi-circle = (1/2)(πd)

Where:

π = 3.14

d = 20 ft.

Circumference of semi-circle = (1/2)(3.14)(20 ft) = 31.4 ft.

2) Vertical lengths from the endpoint  of semi-circle to the endpoints of horizontal lengths, 40 ft each ⇒ 2 × 40 ft. = 80 ft.

3.) Horizontal length at 20 ft.

Add the semi-circle, vertical, and horizontal lengths:

Distance around the pool = 31.4 ft + 80 ft. + 20 ft.

Distance around the pool = 131.4 ft.


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