Question

1. what are possible dimensions of the rectangular area at the right? area = 27x - 9

Explanation:

Step1: Factor the area expression

Factor out the greatest - common factor of \(27x - 9\). The GCF of 27 and 9 is 9. So, \(27x-9 = 9(3x - 1)\).

Step2: Recall the area formula for a rectangle

The area of a rectangle is \(A = l\times w\), where \(l\) is the length and \(w\) is the width.
If \(A=9(3x - 1)\), then possible dimensions of the rectangle are a length of 9 and a width of \(3x - 1\) (or vice - versa).

Answer:

The possible dimensions of the rectangle are 9 and \(3x - 1\).