Answer:
Width = 44 yards
Length = 171 yards
Step-by-step explanation:
given data
length of the field = 5 yards
Perimeter of the rectangular field = 430 yards.
solution
we consider here length of the field = L
and width of the field = W
as we know length of the field 5yards less than quadruple the width
so here
L = 4W - 5 .....................................1
and
Perimeter (P) will be here
P = 2(L + W) ............................................2
put here equation 1 value
430 = 2(4W - 5 + W)
solve it we get
W = 44
so here put value in eq 1 we het
L = 4W - 5
L = 4(44) - 5
L = 171
so, length of the field is 171 yards