a pizza restaurant charges $10.00 for a large one topping pizza in the shape of a circle with a diameter of 14 inches. To celebrate the World Series, the resturant decides to bake a pizza in the shape of home plate. The dimensions of the pizza are shown.

Question

If the restaurant wants to charge the same price per square inch as a large one topping pizza how much should the restaurant charge for the home plate pizza. justify your answer.

The top two sides are 12 inches and the base is 17 and the remaining sides are 8.5 inches

Answer 1

well, I don't have a diagram, but if the pentagonal shape is just a rectangle with a triangle on top, its area is

8.5 * 17 + 1/2 * 17 * √(12^2-8.5^2) = 216.5 in^2

The round pizza has an area of 49π = 153.9 in^2

So, the cost of the home-plate pizza should be $10.00 * 216.5/153.9 = $14.07