Question 1110128
perimeter is equal to 2 times the length plus 2 times the width for a rectangle.


let L equal the length and W equal the width.


your equation is 2L + 2W = 24


divide both sides of this equation by 2 to get L + W = 12


solve for L to get L = 12 - W.


your domain is 1 <= W <= 11.


if you let y equal L and x equal W, then your graph will look like this:


<img src = "http://theo.x10hosting.com/2018/022104.jpg" alt="$$$" >


when x = 1, then y = 11, and 2x + 2y = 24


when x = 2, then y = 10, and 2x + 2y = 24


when x = 3, then y = 9, and 2x + 2y = 24


in fact, all combinations of x and the corresponding value of y in the equation of y = 12 - x will yield 24 as the answer when you place them in the equation of 2x + 2y = z, where z represents the perimeter of the rectangle.