The correct answer is: [tex]16\sqrt13[/tex] units (Option D)
Explanation:
A garden is usually rectangular in shape; therefore, you need to have the formula for the perimeter of a rectangle to find the perimeter of the garden.
The perimeter of rectangle = P = 2*(L+W) --- (A)
Where L = Length of a garden = [tex]7\sqrt13[/tex]
W = Width of the garden = [tex]\sqrt13[/tex]
Plug the values in equation (A) and simplify:
[tex]P = 2*(L+W) \\ P = 2*(7\sqrt13 + \sqrt13) \\ P = 2 * (\sqrt13 * (7+1)) \\ P = 2 * (8 * \sqrt13) \\ P = 16\sqrt13[/tex]
Hence, the perimeter of the garden is [tex]16\sqrt13[/tex] units (Option D)
