Question

The rectangle on the right is a scaled copy of the rectangle on the left. Identify the scale factor. Express your answer as a whole number or fraction in simplest form.


the left one is smaller with a 6 one the top and a 5 on the side of it and the the right one which is bigger has a 18 on top and a 15 on the side

Answer 1

To find the scale factor between the two rectangles, we can compare corresponding dimensions.

For the left rectangle:
- Width = 5
- Height = 6

For the right rectangle:
- Width = 15
- Height = 18

Now, we can find the scale factor by comparing the corresponding dimensions (width and height):

1. For the width:
\[
\text{Scale factor (width)} = \frac{\text{Width of right rectangle}}{\text{Width of left rectangle}} = \frac{15}{5} = 3
\]

2. For the height:
\[
\text{Scale factor (height)} = \frac{\text{Height of right rectangle}}{\text{Height of left rectangle}} = \frac{18}{6} = 3
\]

Since both the width and height have the same scale factor, the scale factor for the rectangles is:

\[
\text{Scale Factor} = 3
\]

Thus, the scale factor is \( \boxed{3} \).