Answer:
Width = 44 yards
Length = 171 yards
Step-by-step explanation:
Given:
Perimeter of the rectangular field = 430 yards.
Let:
The length of the field be L
The width of the field be W.
From the question:
The length of the field is 5yards less than quadruple the width. This implies that;
L = 4W - 5
But.
Perimeter (P) of a rectangle is given by:
P = 2(L + W) ---------------(i)
Substitute the values of P = 430, L = 4W - 5 and W into equation (i) as follows;
430 = 2(4W - 5 + W)
430 = 2(5W - 5)
430 = 10W - 10
10W = 430 + 10
10W = 440
Divide both sides by 10
W = 44
Therefore, the width of the field is 44 yards.
Remember that,
L = 4W - 5
[Now substitute W = 44]
L = 4(44) - 5
L = 176 - 5
L = 171
Therefore, the length of the field is 171 yards
