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

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)