Question

Keshawn needs to enclose a pen for her pigs. She only has 200 feet of fencing and wants to enclose the maximum area. She sets up a equation A = l(100-l) to find the length of the pen should be. What does 100 - l represent?

Answer 1

Answer: We get that 100-l represents the breadth of the pen.

Explanation:

Since we have given that

Perimeter of rectangle = 200 feet

Let the length of the pen for her pigs be 'l'.

So, According to question,

Perimeter of rectangle = 2(l+b)

`200=2(l+b)\\\\(200)/(2)=l+b\\\\100=l+b\\\\100-l=b`

And we know the formula for "Area of rectangle":

`Area=Length* breadth\\\\A=l(100-l)`

So, we get that 100-l represents the breadth of the pen.