a rectangle has each diagonal of length 5? what is the maximum possible perimeter of such a rectangle?

Question

a rectangle has each diagonal of length 5? what is the maximum possible perimeter of such a rectangle?

optimization

Answer 1

It should be 14. According to the Pythagorean theorem, a diagonal of length 5 at optimum belongs to two sides of a triangle with 3 and 4 (as 3 square + 4 square = 5 square). As a result, the maximum possible perimeter of such a rectangle is (3+4)*2=14. Hope it helps, and let me know if you have any further question. :)