Answer: Perimeter = 12.5 feet
Explanation:
The diagonal of the rectangular garden divides it into two equal right angle triangles. The diagonal represents the hypotenuse of each right angle triangle. The length and width of the rectangle represents the adjacent and opposite sides of the right angle triangle. To determine the length of the rectangle, L, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore
6.5² = 2.5² + L²
42.5 = 6.25 + L
L² = 42.5 - 6.25 = 36
L = √36
L = 6 feet
Perimeter = 2(L + W)
Perimeter = 2(6 + 2.5) = 12.5 feet