hey everyone, i'm currently stumped on a problem that seems impossible to solve.

the formula is ((x^2)/9)+((y^2)/4)=1, and it asks to find the maximum area of a rectangle within that limit (equation)

so far ive gotten:

y=(lambda)((2x)/9)

x=(lambda)(y/2)

((x^2)/9)+((y^2)/4)-1=0 as my equations.

i am having major problems finding the individual values of x,y and lambda. every other problem ive seen on the web has only 2 variables, which is extremely simple.

Can anyone solve this? thanks!