A pizzeria sells a rectangular 18 X 24 inch pizza for the same price that it sells its large 24" diameter pizza. If both pizzas have the same thickness, which option gives the most pizza for the money.
Gosh I'm really rusty on my geometry. Can you give me an idea of how to go about this?
If they have the same thickness and the ingredients are proportional to the area, I would calculate the area of each.
For the rectangular pizza,
Ar=18*24=402 sq. inches
For the circular pizza,
Ac=π(24²)/4=452.4 sq. inches.
Make your pick before picking up the telephone.
Thanks so much. Any ideas on my other question?
You're welcome!
I posted something on the other one too!
Of course! To determine which option gives the most pizza for the money, we need to compare the areas of the two pizzas.
First, let's calculate the area of the rectangular pizza. The formula for the area of a rectangle is length multiplied by width. In this case, the length is 18 inches and the width is 24 inches. So, the area of the rectangular pizza is 18 inches multiplied by 24 inches.
Next, let's calculate the area of the large circular pizza. The formula for the area of a circle is π multiplied by the radius squared. Since the diameter of the circular pizza is 24 inches, the radius (half the diameter) is 24 inches divided by 2, which is 12 inches. So, the area of the circular pizza is π multiplied by 12 inches squared.
After finding the areas of both pizzas, we can compare them to see which one gives the most pizza for the money. The pizza that has the larger area will offer more pizza for the same price.
I hope this explanation helps! Let me know if you have any further questions or need assistance with the calculations.