1. The problem asks to find the length of the walkway running diagonally through a rectangular garden with sides 15 ft and 24 ft. 2. To find the diagonal length of a rectangle, the Pythagorean Theorem is the appropriate method. 3. The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse (diagonal) equals the sum of the squares of the other two sides: $$c^2 = a^2 + b^2$$ 4. Since the walkway is the diagonal of the rectangle, we can use this theorem to find its length. 5. The other options (30-60-90, 45-45-90 triangles, and Trigonometry) are not necessary here because the sides are given and the diagonal forms a right triangle with the sides. Final choice: Use the Pythagorean Theorem.