A rectangular piece of metal is 20 in longer than it is wide. Squares with sides 4 in long are cut from the four corners and the flaps are folded upward to form an open box. If the volume of the box is 1364 in what
were the original dimensions of the piece of metal?

Pythagorean triples are 3 whole numbers such that a^2 + b^2 = c^2
the biggest number must be the 'c' because it is across from the 90 degree angle and therefore the longest side.
6^2 + 8^2 ? =? 10^2
36 + 64 ? =? 100
100 = 100
this is true so 6,8,10 is a pythagorean triple.
5^2 + 12^2 ? =? 13^2
25 + 144 ? =? 169
169 = 169
this is true so 5,12,13 is a pythagorean triple.