Suppose a metal right triangle with smaller sides length 3 inches and 4 inches and a hypotenuse of 5 inches.

Suppose a metal right triangle with smaller sides length 3 inches and 4 inches and a hypotenuse of 5 inches. This triangle is heated so that it expands, and retains its right triangular shape as it expands. Assume the shortest side expands at the rate of 1 inch per minute, and the second shortest side expands at the rate of 4 inches per minute.

How fast is the hypotenuse expanding after 2 minutes?

How fast is the perimeter growing after 2 minutes?