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Gifted World Challenge #5 - Mar 30- Apr 12, 2024

Updated: Jun 19

Hello everyone!


Welcome to the 5th of our Fortnightly Challenge blog series. Every alternate Saturday, we will post a question for you to ponder on and solve. You can submit your answers in the google form linked at the end of the blog.

The 3 best answers (as judged by the Gifted World team) will be featured on our blog.


The Question


Perimeter and area obviously have different units , but is it possible to have two rectangles in which their numerical values are equal ? If so, how many such rectangles are there and what are their dimensions? Assume the side lengths of the rectangles are natural numbers i.e. 1,2,3.... not fractional or decimal values.


You are NOT allowed to use algebra in answering this question.



You can submit your answer here. Even if you don't manage to answer this question completely, share whatever you have done and what you plan to investigate next. How you think is more important than getting the right answer quickly!

The last day to submit your answer is Friday, April 12, 2024.


(Note that commenting is disabled on this post so that nobody gives away the answer to someone who hasn't solved it yet)

279 views6 comments

6件のコメント


6,3 rectangle

いいね!
Kaveri  Bhatt
Kaveri Bhatt
5月12日
返信先

She said to post the answer in the link given

いいね!

Kaveri  Bhatt
Kaveri Bhatt
5月09日

When will you post the results??

いいね!

since all squares are rectangles, one square satisfies that answer, a square with all sides as 4

いいね!

Technically, since all squares are rectangles, all perfect squares are rectangles with equal area and perimeter.

いいね!
返信先

Please check if what you are saying is correct. Is a^2=4a always?

いいね!
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