Jim wants to fence a rectangular pen for his chickens. The length of the pen should be at 78 feet and the perimeter should be no more than 412 feet. Which system of inequalities represent the possible dimensions of the pen?(1 point)%0D%0AResponses

Answer 1

Let's assume the width of the pen is 'w'.

The length is given as 78 feet, so we have the inequality:

length ≤ 78

The perimeter of a rectangle is given by the formula:

perimeter = 2*(length + width)

The perimeter is given as no more than 412 feet, so we have the inequality:

perimeter ≤ 412

Now, substituting the values and variables, we have the system of inequalities:

78 + w + 78 + w ≤ 412

Simplifying, we get:

2w + 156 ≤ 412

Subtracting 156 from both sides, we have:

2w ≤ 256

Dividing both sides by 2, we get:

w ≤ 128

So the system of inequalities that represent the possible dimensions of the pen is:

length ≤ 78
w ≤ 128