(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

What is thea are of the largest rectangle that can be inscribed in the ellipse 4x^2 +9y^2 = 36

A) 6 rad 2 B) 12 C)24 D) 24 rad 2 E) 36

2. Relevant equations

Must be done using optimization and first derivitive

3. The attempt at a solution

I know I have to use A= 2x2y

But i don't know how to remove one of the variables ..

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Calculus BC: Rectangle inside an ellipse

**Physics Forums | Science Articles, Homework Help, Discussion**