## Challenge 249: Rectangle Riddle

The length and width of a rectangle are *a *and *b. *

Given that the product of the area and the perimeter of the rectangle is at least 1, what is the smallest possible value of the perimeter?

*Justify your answer clearly!*

### Submit your solution

Please do send in your solution to this problem to weeklymaths@kcl.ac.uk You can scan or photograph your written work, or type your solutions. If this is your first weekly maths challenge solution, please include your year group and the name of the school you attend. We'll be happy to provide you with feedback on your solution.