Question

a local pizza parlor is selling two different shapes of cheese pizza for the same price. you can get two small square pizzas that have sides of 8 inches or a large round pizza with a diameter of 14 inches. write final answers to one decimal place. a) what amount of pizza do you get with the two square pizzas? b) what amount of pizza do you get with the large round pizza? c) which choice gives you more pizza?

Explanation:

Step1: Calculate area of one square pizza

The area formula for a square is $A = s^2$, where $s$ is the side - length. Given $s = 8$ inches, so $A_1=8^2 = 64$ square inches.

Step2: Calculate area of two square pizzas

Since we have two square pizzas, $A_{square}=2\times A_1 = 2\times64=128$ square inches.

Step3: Calculate area of the round pizza

The area formula for a circle is $A=\pi r^2$, where $r$ is the radius. Given diameter $d = 14$ inches, so $r=\frac{d}{2}=\frac{14}{2}=7$ inches. Then $A_{circle}=\pi\times7^2=\pi\times49\approx3.14\times49 = 153.9$ square inches.

Step4: Compare the areas

Since $128<153.9$, the large round pizza has more area.

Answer:

a) 128 square inches
b) 153.9 square inches
c) The one large round pizza