The dimensions of the garden are
The dimensions of the garden are 16 and 3 feet.
The formula for finding the area of a rectangle is length * width.
Let's keep the width of the rectangular garden as x.
Therefore, the length will be x+13.
x * (x+13) = 48
x^2 + 13x = 48
x^2 + 13x - 48 = 0
(x-3)(x+16) = 0
x = 3, x = -16
However, since a dimension cannot be a negative number, the dimensions are 3 and 16. You can also solve this problem by finding the factors of 48 then seeing which ones have a difference of thirteen, though it might not work if the dimensions are decimals.