Question

find the scale factor from the original rectangle to the scaled copy. to find the scale factor, start by looking at the highlighted lengths of both rectangles. count the number of units along each length.

Explanation:

Step1: Assume side - length of original rectangle

Let's assume the side - length of the original rectangle (a small square grid) is 1 unit.

Step2: Measure side - length of scaled rectangle

Count the number of unit - squares along a side of the scaled rectangle. Suppose the side of the original rectangle is 1 unit and the corresponding side of the scaled rectangle is 6 units.

Step3: Calculate scale factor

The scale factor $k$ is given by the ratio of the side - length of the scaled rectangle to the side - length of the original rectangle. So, $k=\frac{\text{side length of scaled rectangle}}{\text{side length of original rectangle}}=\frac{6}{1} = 6$.

Answer:

6