The area of a rectangle is 105mm^2. The length is six millimeters less than three times its width. Find the dimensions of the rectangle.
b) Write an equation using w for width.
Let's start by using w for width. We are given that the length is six millimeters less than three times its width.
So the length can be expressed as: 3w - 6
The formula for the area of a rectangle is length times width. In this case, the area is given as 105mm^2, so we can set up the equation:
(3w - 6) * w = 105
This equation represents the relationship between the length, width, and area of the rectangle.