Respuesta :

DeanR

Except for the diagonal piece we just have to count squares along the perimeter.  Let's focus on the diagonal.

It's the diagonal of right triangle that's 6 wide and 8 tall, so the diagonal is 10, (6,8,10) being twice (3,4,5), the first Pythagorean triple on the list.  

d² = 6² + 8² = 10²

d = 10

The rest is counting.  We already know the height is 8.  The top is 8 too, the bottom is 8 plus the 6 we already counted, so 14.

P = 8 + 8 + 14 + 10 = 40

Answer: 40