Answer:
L = 2500/W
Step-by-step explanation:
Let the fields m be rectangular in nature
Area = LW
Perimeter = 2(L+W)
L is the length
W is the width
Given
Perimeter = 200ft
Area = 2500ft²
Substitute into the formula
200 = 2L+2W
100 = L+W ...... 1
2500 = LW.... 2
From 1; L = 100-W
Substitute into 2
2500 = (100-W)W
100W - W² = 2500
W²-100W+2500 = 0
W²-50W-50W+2500 = 0
W(W-50)-50(W-50) = 0
W - 50 = 0
W =50
Substitute w = 50 into LW = 2500
L = 2500/50
L = 50
Hence the equation that can be used to find the length of the field is
L = 2500/W
