About Tier 4 - Tensor
A layered challenge requiring substantial reasoning or technical control.
Difficulty describes the challenge, not the solver. It is a Society guide rather than a formal academic level.
The tier is a Society guide to the amount of reasoning, technical work and insight a problem is expected to require. Your experience may vary depending on the topic and your background.
The Largest Rectangle
Calculus / Optimisation - 8-12 min
A rectangle lies in the first quadrant with one corner at the origin. Its sides are parallel to the coordinate axes, and its opposite corner lies on the curve:
What is the maximum possible area of the rectangle? Both coordinates must be non-negative.
Assumptions
Use real Cartesian coordinates with the same length unit on both axes. The rectangle is in the non-negative quadrant; zero-area endpoint cases may be included when comparing possible areas.
More Options for The Largest Rectangle
Collection question · Revision 1 · ID: rectangle-optimisation