Let L represent the length of the rectangular field and W represent the width of the rectangular field.
Given that the length is 32 yds longer than the width, it means that
L = W + 32
The formula for determining perimeter is expressed as
Perimeter = 2(L + W)
Given that the perimeter of the field is 162 yds, it means that
2(L + W) = 162
Dividing both sides of the equation by 2, it becomes
L + W = 81
L = 81 - W
Substituting L = 81 - W into the equation, L = W + 32, it becomes
81 - W = W + 32
W + W = 81 - 32
2W = 49
W = 49/2
W = 24.5 yds
Substituting W = 24.5 into the equation, L = W + 32, it becomes
L = 24.5 + 32
L = 56.5 yds
Length = 56.5 yds
Width = 24.5 yds