To start, let's define our variable, which is x. x will represent the width of the rectangle. Next, since you know that the length is 4 times as long as the width, it will be represented by 4x. Now, since you know that the perimeter of a figure is the sum of the length of all the sides of the rectangle, you can express the perimeter with this expression: 4x+4x+x+x Then, you set the expression to the perimeter, which is 110. 4x+4x+x+x=110 Combine like terms: 10x=110 And solve for x: x=11 Now that you have solved for x, which represents the width of the rectangle, you now know that your answer is 11.