The area of the home plate diagram is of 216.75 in².
Area of the home plate
The home plate is composed by these two figures:
- A rectangle of dimensions 17 in and 8.5 in.
- A triangle of base 17 in and height 8.5 in..
The area of the rectangle is given by the multiplication of it's dimensions, hence it is calculated as follows:
Area of rectangle = 17 x 8.5 = 144.5 in².
The area of the triangle is given by half the multiplication of the base and of the height, hence:
Area of triangle = 0.5 x 17 x 8.5 = 72.25 in².
The area of the home plate is calculated as the sum of the area of the rectangle and of the area of the triangle, hence:
Area of home plate = Area of rectangle + Area of triangle = 144.5 + 72.25 = 216.75 in².
More can be learned about the area of a polygon at https://brainly.com/question/10489198
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