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.

Question

b) Write an equation using w for width.

Answer 1

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.