```python
# reference https://socratic.org/questions/the-top-and-bottom-margins-of-a-poster-are-4-cm-and-the-side-margins-are-each-6-
from IPython.display import Image
from IPython.core.display import HTML 
from sympy import *; x,h,y,n,t = symbols("x h y n t"); C, D = symbols("C D", real=True)
Image(url= "https://i.imgur.com/LA701Wi.png")
```









```python
A,a,b = symbols("A a b")
A = 382 + 2*(a*8) + 2*(b*8)-4*(8*8)
A
```




$\displaystyle 16 a + 16 b + 126$




```python
Eq(A,a*b)
```




$\displaystyle 16 a + 16 b + 126 = a b$




```python
pprint(solve(Eq(A,a*b),a))  # A(b)
```

    ⎡2⋅(8⋅b + 63)⎤
    ⎢────────────⎥
    ⎣   b - 16   ⎦



```python
simplify((2*(8*b + 63)/(b - 16))*b)   *a * b
```




$\displaystyle \frac{2 b \left(8 b + 63\right)}{b - 16}$




```python
simplify(diff((2*(8*b + 63)/(b - 16))*b))
```




$\displaystyle \frac{16 \left(b^{2} - 32 b - 126\right)}{b^{2} - 32 b + 256}$




```python
print(simplify(diff((2*(8*b + 63)/(b - 16))*b)))
```

    16*(b**2 - 32*b - 126)/(b**2 - 32*b + 256)



```python
b**2 - 32*b - 126
```




$\displaystyle b^{2} - 32 b - 126$




```python
solve(b**2 - 32*b - 126,b)
```




    [16 - sqrt(382), 16 + sqrt(382)]




```python
Image(url= "https://i.imgur.com/3RToGO0.png")
```








d037e0e606843d8662c1bcbc94622d8e4fd6cafa
ipynb
Jupyter Notebook
Calculus_Homework/WWB14.1.ipynb
NSC9/Sample_of_Work
8f8160fbf0aa4fd514d4a5046668a194997aade6
MIT
Calculus_Homework/WWB14.1.ipynb
NSC9/Sample_of_Work
8f8160fbf0aa4fd514d4a5046668a194997aade6
MIT
Calculus_Homework/WWB14.1.ipynb
NSC9/Sample_of_Work
8f8160fbf0aa4fd514d4a5046668a194997aade6
MIT
Qwen/Qwen-72B
1. YES
2. YES