Question

The area of the rectangle is 18x-12 square inches. The width is 6 inches, as shown. Write an expression in simplest form that represents the length of the rectangle (in inches)

Answer 1

Length = 3x - 2 inches

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:

`18x - 12 = Length * 6\\18x - 12 = l* 6\\18x-12=6l\\l=(18x-12)/(6)\\l=(18x)/(6)-(12)/(6)\\l=3x-2`

Thus, the simplest form of expression for the length is:

Length = 3x - 2