Each of 3 water sprinkler systems covers a semicircle with radius 2m on the side of a house shown.

What amount of area remains dry? Show your work to explain how you go

your answer, to the nearest square meter. (Dry area is in the shaded

region.)

5 meters

Step-by-step explanation:

We can obtain the entire area, both shaded and non-shaded by finding the area of the rectangle ;

Area of rectangle = Length * width

Length = 12 ; width = 2

Area of rectangle = 12 * 2 = 24 m²

Area of semicircle = πr² / 2

The radius, r of each semicircle = 2

Area of each semicircle = π * 2² / 2 = 6.283 m²

Area of the 3 semicircles = 3 * 6.283 = 18.849 m²

Area of dry region:

(24 - 18.849) m²

= 5.151 m²

= 5 m

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step-by-step explanation: