Answer:
Explanation:
The square forms two 45-45-90 triangles, where the diagonal of the square is the hypotenuse of both these triangles. In all 45-45-90 triangles, the sides are in the ratio
, where
is the hypotenuse of the triangle and
represents each of the two other sides of the triangle (from the Pythagorean Theorem).
Thus, we know that
represents the hypotenuse, which means that the side length must be
feet. The perimeter is then