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).
<span>Answer:
When bob starts walking The distance between them is 45-3 = 42 miles
If they meet at time t then Yolanda would have walked
X/3 minutes and Bob would have walked (42-X)/4 mins
X/3 = (42-X)/4 so X = 18
Bob would have walked 42-18 = 24 miles.</span>
Answer:
160 acres
Step-by-step explanation:
Given data
Total Amount of land= 280 Acres
Ratio=4:3
Total part = 4+3= 7
Applying the part to all method
let AI receive x acres
Then
4/7= x/280
cross multiply
7x= 280*4
7x=1120
x= 1120/7
x= 160
Hence AI will receive 160 acres
Answer:
she gets her drivers license then right?
Step-by-step explanation: