The width of a rectangle is 2 less than its length. if the perimeter of the rectangle is no more than30 centimeters, find the range of possible lengths and widths of the rectangle. use the formula, p=2l+2w, for the perimeter of the rectangle. in the form of a paragraph, explain in complete sentences the steps necessary to set up the equation. include the final inequality in your explanation. complete your work in the space provided or upload a file that can display math symbols if your work requires it.

We will take length as variable l and width as variable w.

Formula for perimeter of the rectangle is P=2(l+w)

and l=w+2 and P≤30

First we replace l in formula for perimeter and get this inequality

2(w+2+w)≤30, than we divide this inequlity with 2 and get 2w+2≤15 =>

2w≤13 => w≤6.5

When we replace w in formula for l we get

l-2 ≤ 6.5 => l≤6.5+2 => l≤8.5

If you need some more explenation I am here

good luck!!!

y = - 6

step-by-step explanation:

given the point (- 2, y) lies on the graph then it is a solution of it's equation.

substitute x = - 2 into the equation for value of y

y = 3(- 2) = 3 × - 2 = - 6

the point on the graph is (- 2, 6)