Jim wants to fence a rectangular pen for his chickens the length of the pin should be 78 ft and the perimeter should be no more than 412 ft which system of inequalities represent the possible dimensions of the pen
Let's denote the width of the pen as "w".
Since the length of the pen is given as 78 ft, one inequality we can write is:
Length (L) ≤ 78 ft
The perimeter of a rectangle is given by the formula: Perimeter = 2(L + w)
We want the perimeter to be no more than 412 ft, so another inequality we can write is:
2(L + w) ≤ 412
Combining both inequalities, the system of inequalities representing the possible dimensions of the pen is:
L ≤ 78
2(L + w) ≤ 412