Question

Given an elliptical piece of cardboard defined by (x^2)/4 + (y^2)/4 = 1. How much of the cardboard is wasted after the largest rectangle (that can be inscribed inside the ellipse) is cut out?

How to solve this without subtracting area of ellipse from the area of the rectangle? I believe this is optimization.

Answer 1

I assume this is calculus ?

Answer 2

btw, your "ellipse" is a circle centered at (0,0).

Answer 3

familiar with lagrange ?

Answer 4

Okay, you want to solve it by optimizing in single variable is it ?