The area of a rectangle can be represented by the expression x2 + 4x – 12. the width can be represented by the expression x – 2. which expression represents the length? 1) x-2(x^2+4x-12) 2) x^2+4x-12/x-2 3) x-2/x^2+4x-12

2) x^2+4x-12/x-2

Step-by-step explanation:

We are given the area and width of the rectangle, and left to find the length. Normally, we multiply length by the width to get the area. In order to find the length, we must do the inverse of what is usually done; we must divide the area by the width which would give us the length. This is how you get the expression:

x^2+4x-12/x-2

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have