Question 1118633
x/4 + y/8 = k

x=0 y = 8k B(0,8k)
y=0 x = 4k A(4k.0)

The area is half the product of OA and OB since these are perpendicular.

So 1/2 32 k^2 = 144
or 16 k^2 = 144
   4 k = 12
   k = 3