The drawing is composed of a rectangle with the width of 10cm and the length 18cm and a semicircle. Find the area of the figure to the nearest u it.
First, we find the area of the rectangle:
Area of rectangle = length x width
Area of rectangle = 18cm x 10cm
Area of rectangle = 180cm²
Next, we find the area of the semicircle:
We know that the diameter of the semicircle is equal to the width of the rectangle, which is 10cm. So, the radius of the semicircle is half of the diameter, which is 5cm.
Area of semicircle = 1/2 x π x radius²
Area of semicircle = 1/2 x 3.14 x (5cm)²
Area of semicircle = 1/2 x 3.14 x 25cm²
Area of semicircle = 39.25cm²
Finally, we add the area of the rectangle and the area of the semicircle to find the total area of the figure:
Total area = area of rectangle + area of semicircle
Total area = 180cm² + 39.25cm²
Total area = 219.25cm²
Therefore, the area of the figure to the nearest unit is 219cm².