The area of a rectangle garden is 48 sq ft. it is exactly 13 feet longer than its wide. find the dimensions of the garden

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.