We can notice from the figure that : Area of the home plate is equal to sum of the Area of the rectangle ( 8 in x 15 in) and Area of the triangle with height 6 in and base 15 in.
Area of the rectangle : Length x Width
⇒ Area of the rectangle = 15 x 8 = 120 in²
Area of the triangle : 1/2 x Base x Height
⇒ Area of the triangle = 1/2 x 15 x 6 = 45 in²
Area of the home plate = Area of rectangle + Area of triangle
⇒ Area of the home plate = 120 in² + 45 in² = 165 in²
