It would be: 567/18 = 31.5
So, she needs atleast 32 shelves....
Answer:
Dimensions: 
Perimiter: 
Minimum perimeter: [16,16]
Step-by-step explanation:
This is a problem of optimization with constraints.
We can define the rectangle with two sides of size "a" and two sides of size "b".
The area of the rectangle can be defined then as:

This is the constraint.
To simplify and as we have only one constraint and two variables, we can express a in function of b as:

The function we want to optimize is the diameter.
We can express the diameter as:

To optimize we can derive the function and equal to zero.

The minimum perimiter happens when both sides are of size 16 (a square).
It’s (x-6)(x+4) so the first one and last one
Answer:
when you simplify 600:450 to the smallest it can be, its 4:3. For proof, multiply 4:3 by 150. 4 times 150 is 600 and 3 times 150 is 450.