Question 629861
Data given: 

Perimeter of a rectangular field = 500 ft.

Length of the field = L
Width (W) of the field = 1/2*L - 32


Perimeter equation for a rectangle: P = 2*L + 2*W


500 = 2L + 2*(1/2*L -32)
500 = 2L + L - 64 
500 = 3L - 64
500 + 64 = 3L


564 = 3L ----->  L = 564/3 -----> L = 188 Ft.


Therefore, W = 1/2*L - 32 = 1/2*(188) - 32 = 94 - 32 = 62 Ft.
           W = 62 Ft.


The width of the field is 62 feet.