Answer: [tex]1456\ ft^2[/tex]
Step-by-step explanation:
Given
Length of whole fence is 155 feet
If the length of rectangle is 45.5 ft
Suppose width is w
Length of whole fence is perimeter which is given by
[tex]\Rightarrow 155=2(45.5+w)\\\Rightarrow 77.5=45.5+w\\\Rightarrow w=32\ ft[/tex]
Area of the rectangle is given by the product of length and width
[tex]\Rightarrow A=lw\\\Rightarrow A=45.5\times 32\\\Rightarrow A=1456\ ft^2[/tex]
Thus, total area of pasture is [tex]1456\ ft^2[/tex]
