perplexus.info :: Shapes : Covering an Ellipse

Covering an Ellipse (Posted on 2014-07-26)

Each of the lengths of three identical rectangles R₁, R₂ and R₃ is precisely twice their respective breadths.

The respective semi-major axis and the semi-minor axis of an ellipse E are 3 and 1. If E is completely covered by R₁, R₂ and R₃, then find the smallest dimension of each of the three rectangles.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

Refer to the solution submitted by Brian Smith here and here.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Parallel Rectangles	Brian Smith	2016-12-16 16:01:39
One big rectangle	Brian Smith	2016-12-13 12:51:48

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (5)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info