Need on geometry right answers only i’m giving 25 points

first choice 14.142 ft

Explanation:

1) Side length of the square: x

2) Use the Pythagorean theorem to relate the side lenght with the diagonal:

diagonal² = x² + x² = 2x²

3) Clear x:

x² = diagonal² / 2

⇒x = √(diagonal² / 2) = diagonal /√2 = diagonal √2 / 2

4) subsitute diagonal = 5 ft

⇒ x = 5 ft √2 / 2 ≈ 3.536 ft

5) The perimeter of the square is 4 times the side length:

Perimeter = 4 × 3.536 ft = 14.142 ft