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)

6,3 rectangle

When will you post the results??

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

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