# What is the area of the largest rectangle that can be inscribed in the ellipse: #9(x^2) + 4(y^2) = 36#?

##### 1 Answer

Jun 16, 2016

#### Explanation:

The problem can be posed as:

Find Max

Making now

Find

The lagrangian for determination of stationary points is

The stationarity conditions are

or

Solving for

so