To find the area of the shaded region, calculate the area of the rectangle and the area of the semicircle, then subtract the area of the semicircle from the area of the rectangle.
To find the area of the shaded region, we first need to calculate the area of the rectangle. The length of the rectangle is given as 14mm. Let's assume the width of the rectangle is w mm. Therefore, the area of the rectangle is Arectangle = length × width = 14mm × w mm.
Next, we need to find the area of the semicircle. The formula for the area of a semicircle is Asemicircle = (π × radius²) / 2.
The radius of the semicircle is half the width of the rectangle (w/2 mm). So, Asemicircle = (π × (w/2 mm)²) / 2.
Finally, the shaded region is the difference between the area of the rectangle and the area of the semicircle: Shaded Area = Arectangle - Asemicircle.
Learn more about Area of shapes