Respuesta :

Hi1315

Answer:

189.25 in²

Step-by-step explanation:

First, let us find the area of the rectangle.

Area = Length × Width

        = 15 in × 10 in

        = 150 in²

Then let us find the area of the semicircle.

Area = [tex]\frac{1}{2}[/tex] × π r²

         =  [tex]\frac{1}{2}[/tex] × 3.14 × 5 × 5

         = 0.5 × 3.14 × 25

         = 1.57 × 25

         = 39.25 in²

Now let us find the total area of the composite figure.

Total area = Area of the rectangle + Area of the semi-circle.

                 = 150 in² + 39.25 in²

                 = 189.25 in²