Looks like all you have to do it multiply the numbers together; there is no application of the Distributive Property to these problems.
If x represents the length of the box, then 42-x will be the girth. Since the largest area for a given girth is that of a square, the side length of the square cross section is (42 -x)/4.
The volume as a function of package length is then
.. v(x) = x((42-x)/4)^2
This has a maximum at x=14. The corresponding volume is 686 in^3.
Answer:
The bigger pizza has a diameter of 14 inches, or a radius of 14 / 2 = 7 inches.
The smaller pizza has a diameter of 12 inches, or a radius of 12 / 2 = 6 inches.
Step-by-step explanation:
The area of a circle is πR2 where R is the radius.
The difference in the size of the pizzas is
Area of bigger pizza - Area of smaller pizza
= π(7 inches)2 - π(6 inches)2 = = 49π inches2 - 36π inches2 = 13π inches2