We have the form
(x - h)^2 (y - k)^2
______ + ________ = 1
a^2 b^2
a =(1/2) length of major axis = (1/2)(20) = 10........a^2 = 100
b = (1/2) length of mi,or axis = (1/2) ( 16) = 8 .....b^2 =64
(5,3) =( h, k)
So we have
(x -5)^2 (y - 3)^2
_______ + ________ = 1
100 64