A Fence in a Corner

Problem

Two walls meet at a right angle. A fence of total length 6060 meters, consisting of two straight segments, is placed so that the two fence segments and the two walls bound a quadrilateral. What is the maximum possible area of this quadrilateral?

Answer

Solution

Difficulty6/10
Topicsplane geometry, Extrema, Reflection, inequality

Whiteboard

Your sketch is saved only in this browser. To share it, export your drawing as an image (whiteboard menu → Export as → PNG), then upload that image in the comments below.

Discussion

Ask questions, share alternate solutions, and use LaTeX freely.

0 comments
Log in to join the discussion.

No comments yet.