With WolframAlpha if I put 4/3*x^2+y^2+x*y/2-7*x-8*y-32=0 and click [Properties] I have:

ellipse
foci | (4.32758, -0.902184) | (-0.393151, 7.91858)
vertices | (5.65532, -3.38309) | (-1.72089, 10.3995)
center | (1.96721, 3.5082)
semimajor axis length | 7.81613
semiminor axis length | 6.00576
area | 147.472
perimeter | 43.6092
focal parameter | 7.21054
eccentricity | 0.639994
                         
I can get more detailed information using   focus 4/3*x^2+y^2+x*y/2-7*x-8*y-32=0

                  

I can go with the mouse under the box and click [A Plaintext] to better copy the values.
But for the (strange) function E I must use "EllipticE". What I can get for "perimeter":

Instead of
-(48 sqrt(807/(14 + sqrt(13))) E(2/183 (-13 + 14 sqrt(13))))/(sqrt(13) - 14)
I must use:
-(48 sqrt(807/(14 + sqrt(13))) EllipticE(2/183 (-13 + 14 sqrt(13))))/(sqrt(13) - 14)
I obtain:
43.60916678922859604926097900650864774629354110674636419999...