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. side length in original rectangle 6 corresponding side length in scaled copy

Explanation:

1. First, we need to count the corresponding side - length of the scaled - copy rectangle:

• By counting the grid squares along the corresponding side of the scaled - copy rectangle (assuming the grid squares are of unit length), if we assume the side - length of the original rectangle is 6 units and by counting the grid squares for the corresponding side of the scaled - copy rectangle, we find it is 9 units.

1. Then, we use the formula for the scale factor:

• The scale factor \(k\) from the original rectangle to the scaled - copy is given by the ratio of the side - length of the scaled - copy to the side - length of the original rectangle. So \(k=\frac{\text{Side length in scaled copy}}{\text{Side length in original rectangle}}\).
• Substituting the values, we have \(k = \frac{9}{6}=\frac{3}{2}=1.5\).

Step1: Determine side - length of scaled copy

Count grid squares. It is 9.

Step2: Calculate scale factor

Use formula \(k=\frac{9}{6}\).

Answer:

1.5