How do you calculate outer perimeter of Norman's Window?

To calculate the outer perimeter of Norman's Window, which consists of a rectangular base topped by a semicircular arch, you first determine the dimensions of the rectangle and the radius of the semicircle. If the width of the rectangle is ( w ) and the height is ( h ), the perimeter is calculated as follows: the perimeter ( P ) is the sum of the rectangle's two vertical sides, the base, and the semicircular top. The formula is ( P = w + 2h + \pi \times \frac{w}{2} ), where ( \frac{w}{2} ) is the radius of the semicircle.