let

l = represent the length of the table, l>0

w = represent the width of the table, w>0

A = 104 m^2 is the area of the table

The length of the top of a table is 5 m greater than the width:

l = 5 + w

The area of a rectangle is equal to the length multiplied by width:

A = l*w

l*w = 104

plug l = 5 + w into the last equation:

(5 + w)w = 104

by solving we find:

w = 8 m

click here to see the step by step solution of the equation:

l = 5 + 8

l = 13 m

the dimensions of the table are: the length is 13 meters and the width is 8 meters.