let

l = the length of the rectangle, l>0

w = the width of the rectangle, w>0

the length of a rectangle is 5in greater than the width

l = 5 + w

the area is 104 in^2

l*w = 104

plug l = 5 + w into the last equations

(5 + w)w = 104

by solving we find

w = 8 in

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

l = 5 + 8

l = 13 in

the length is 13 in and the width is 8 in.