You have 160 yards of fencing material. if you want to construct a rectangular pen whose width is between 10 and 20 yards, inclusive, what is the longest that such a pen can be, in yards?

70 yards

Step-by-step explanation:

we know that

The perimeter of the rectangular pen is equal to

we have

The width is between 10 and 20 yards inclusive

we know that

The longest pen will be for the smaller value of W

so

For W=10 yd

substitute in the equation of perimeter

solve for L

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation: