Our first task in this problem is to set up variables that represent length and width.
Let's first identify our values:
X → Width
3x + 6 → Length
Before moving on, it's always a great idea to draw a picture of the rectangle to visualize what's going on. I will provide a picture.
Now, we can use the first sentence of the problem to set up our equation.
The perimeter of a rectangle is the distance around the outside of the figure. If our perimeter is 124 cm, we can set up an equation to represent this.
x + x + 3x + 6 + 3x + 6 = 124cm.
If we simplify on the left side we will get
8x + 12 = 124
-12 -12
8x = 112
÷8 ÷8
X = 14
Width = 11 cm
Length = 48 cm
