Answer:
Length = 3x - 2 inches
Step-by-step explanation:
The area of a rectangle is found by the genral formula:
Area = Length * Width
Now, we are given the algebraic expression for AREA and also know that width is 6 inches. So we put it into the formula and get:
Area = Length * Width
18x - 12 = Length * 6
Now, we let Length be "l" and solve for this variable. Steps shown below:
[tex]18x - 12 = Length * 6\\18x - 12 = l* 6\\18x-12=6l\\l=\frac{18x-12}{6}\\l=\frac{18x}{6}-\frac{12}{6}\\l=3x-2[/tex]
Thus, the simplest form of expression for the length is:
Length = 3x - 2
