Answer :

Answer:

20.365045 ft^2 (20.4 ft^2)

Step-by-step explanation:

Okay the hint is that you need to find the area of the circle and the area of the rectangle as a whole, and then subtract the two. The area of a circle is pi*r^2 right? Well, we actually know the radius of the circle is 5/2 because that's the height of the circle (since the side of the rectangle is 5, and that's also how tall the circle is, that also means the diameter of the circle is 5. That also means that the radius is just the 5 divided by 2). Using that we can find the area of the circle to be 19.6349 and then all we have to do is use our regular area formula length*width for the rectangle itself to get 40 ft. To find the area of the shaded region, all you have to do is just get rid of the area of the circle inside of the rectangle so we subtract to get 20.365045 ft^2 (you can round that to 20.4 ft lol)