Arectangular exercise mat has a perimeter of 36 feet. the length of the mat is twice the width. write and solve an equation to determine the length, in feet, of the mat. then find the area, in square feet, of the mat.

The answers are:

- Length

- Width

- Area

We are given the perimeter of a rectangular mat, and we are asked to find the area, and write an equation to determine the length, if feet, of the mat. To solve this problem we need to remember the equation of the perimeter of a rectangle, which is:

Using the given information we have,

Also, we know that the length is twice the width, so:

Then, substituting the second equation into the first equation, we can find the width of the mat.

Substituting, we have:

\\width=\frac{36feet}{6} =6feet" alt="\frac{36feet}{6} =width" />\\width=\frac{36feet}{6} =6feet" />

Then, substituting the width into the second equation, we can find the length of the mat,

Substituting, we have:

Then, finding the area, we have:

Have a nice day!

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: