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Brianna's parents built a swimming pool in the backyard. Brianna says that the distance around the pool is 120 feet.
40 Ft
2011
1. Is she correct? Explain why or why not. (Your explanation needs to include the following: If she is correct, show what she
did to find the distance around the pool. If she is not correct, find the correct distance, showing all work.)
2. Explain (using words this time) how Brianna would determine the distance around the pool so that her parents would
know how many feet of stone to buy for the edging around the pool.

Answer :

No, Brianna is not correct.
The distance around the pool is 131.4 ft

Step by step explanation:

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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