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: We get that 100-l represents the breadth of the pen.
Step-by-step 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)
\(200=2(l+b)\\\\\frac{200}{2}=l+b\\\\100=l+b\\\\100-l=b\)
And we know the formula for "Area of rectangle":
\(Area=Length\times breadth\\\\A=l(100-l)\)
So, we get that 100-l represents the breadth of the pen.