Square of the size of Rectangle

[Rupesh Gesota]

This problem caught my attention while I was looking for something related to another geometrical problem on internet. And after studying it for a while, I was pretty sure that my students would love even this one.

"Given a rectangle of some size m x n, construct a square of area same as that of rectangle using only compass and a straight edge (not a marked ruler)"

To this, one of my students remarked -- "Sir, not even pencil?"  :-))

So I allowed them to struggle for some time (about 15 mins). Then I asked them if they had any ideas..

"Sir, we need a square of side = square-root of (m x n)."

Okay... So how do you get that?

No answer....

"Do you remember some time back we had arrived at such term -----   sqrt(ab)"

After a while, one of them replied -- "Yes, in GM (geometric mean)."

Click on this link to read the full post:

http://rupeshgesota.blogspot.com/2018/08/square-of-size-of-rectangle.html

Do share your views about the process and the approach of students.. You may also share your solution if its different than yours. But plz give a try to solve this problem before you see their solutions...

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with other teachers and parents in your circle who might like this :)

Thanks and Regards

Rupesh Gesota   Maths Educator, Program MENTOR
Mobile: +91 9594 02 03 04 Email: rupesh...@gmail.com Website: www.supportmentor.weebly.com Blog: www.rupeshgesota.blogspot.com

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