Question

1. a 12 - in. by 24 - in. rectangular pizza is the same price as a pizza with a 10 - in. diameter. which shape will give you more pizza?

Explanation:

Step1: Calculate area of rectangular pizza

The area formula for a rectangle is $A = l\times w$. Here, $l = 24$ in and $w = 12$ in. So $A_{rectangle}=24\times12 = 288$ square - inches.

Step2: Calculate area of circular pizza

The area formula for a circle is $A=\pi r^{2}$, where the radius $r=\frac{d}{2}$. Given $d = 10$ in, then $r = 5$ in. So $A_{circle}=\pi\times5^{2}=25\pi\approx25\times3.14 = 78.5$ square - inches.

Step3: Compare the two areas

Since $288>78.5$.

Answer:

The 12 - in. by 24 - in. rectangular pizza gives you more pizza.