Question

please help if you know! lesson name: L 10.5: Using the Distributive Property here is the pic i don't understand

Answer 1

Answer:

Area of the shaded region = 1.72r²

Step-by-step explanation:

Radius of the circle = r

Length of the rectangle = 4r

Width of the rectangle = 2r

Area of the circle = πr²

Area of the rectangle = Length × Width

= 4r × 2r

= 8r²

Area of the shaded region = Area of the rectangle - 2 × Area of the circle

= 8r² - 2 × πr²

= 8r² - 2πr²

= r²(8 - 2π)

= r²(8 - 2 × 3.14)

= r²(8 - 6.28)

= 1.72r²