In [62]:

    

A0 = 32
A1 = 34
A3 = 45
TH = 11
TW = 14


    

In [63]:

    

import sympy
from sympy import Eq


    

In [64]:

    

h = sympy.symbols('h0:4')
w = sympy.symbols('w0:4')
A = sympy.symbols('A')


    

In [65]:

    

rels = [Eq(h[0]+h[2], TH),
        Eq(w[2]+w[3], TW),
        Eq(h[0], h[1]),
        Eq(h[2], h[3]),
        Eq(w[0], w[2]),
        Eq(h[0]*w[0], A0),
        Eq(h[1]*w[1], A1),
        Eq(h[2]*w[2], A),
        Eq(h[3]*w[3], A3),]
solns = sympy.solve(rels)


    

In [66]:

    

import matplotlib.pyplot as plt
from matplotlib.patches import Rectangle


    

In [87]:

    

for soln in solns:
    fig, ax = plt.subplots()
    
    coords = [(0, 0, soln[w[2]], soln[h[2]]),
              (soln[w[2]], 0, soln[w[3]], soln[h[3]]),
              (soln[w[2]], soln[h[2]], soln[w[1]], soln[h[1]]),
              (0, soln[h[2]], soln[w[0]], soln[h[0]])]
    
    colors = 'rwww'
    
    for color, (x,y,w_,h_) in zip(colors, coords):
        rect = Rectangle((x, y), w_, h_, ec='k', fc=color)
        ax.text(x+w_/2, y+h_/2, h_*w_, ha='center', va='center', size=20)
        ax.add_patch(rect)
        
    ax.set_ylim(0,12)
    ax.set_xticks([0,14])
    ax.set_xlim(0,15)
    ax.set_yticks([0,11])
    ax.set_facecolor('gray')
    plt.show()


    

In [85]:

    

for soln in solns:
    print(soln[A])


    

    




32
45