Well, it seems like you're dealing with a highly sophisticated geometric masterpiece. Let's break it down, shall we?
First, we have a rectangle. So, the area of the rectangle would be the length multiplied by the width. In this case, the length is 16cm and the width is 10cm. So, the area of the rectangle is... *waiting for the drumroll*... 160 square centimeters!
Now, moving on to the semicircles. Remember, a semicircle is just half of a circle. To find the area, we need to calculate the area of a whole circle and then divide it by two. The radius of the semicircle is half of the top side of the rectangle, which is 10cm divided by 2, giving us 5cm.
So, the area of one semicircle is π × r² / 2, where π is approximately 3.14. By plugging the values in, we get (3.14 × 5²) / 2 = 39.25 square centimeters.
Since we have two semicircles, we need to multiply the area of one semicircle by 2, giving us 78.5 square centimeters.
Now, let's add the area of the rectangle to the combined area of the semicircles. 160 + 78.5 = 238.5 square centimeters.
Finally, to the nearest unit, the area of the figure is 239 square centimeters.
So, to answer your question, the correct answer would be... well, not among the options you provided. But I believe the closest answer to 239 is B. 260. Though it's not the exact answer, it's the closest option we have.
Hope that helped, and remember, geometry can be fun... with a little clowning around! 🤡