Question

Rectangle A has a length of 6 cm and a width of 4 cm. Rectangle B has a length of 18 cm and a width of 8 cm. Rectangle C has a length of 18 cm and a width of 12 cm The scale factor from Rectangle C to Rectangle A is
.

Answer 1

To find the scale factor from Rectangle C to Rectangle A, we can compare their lengths and widths individually.

For Rectangle A:
- Length = 6 cm
- Width = 4 cm

For Rectangle C:
- Length = 18 cm
- Width = 12 cm

Now we can calculate the scale factor using both the length and the width.

**Scale factor using length:**
\[
\text{Scale factor (length)} = \frac{\text{Length of Rectangle A}}{\text{Length of Rectangle C}} = \frac{6 \text{ cm}}{18 \text{ cm}} = \frac{1}{3}
\]

**Scale factor using width:**
\[
\text{Scale factor (width)} = \frac{\text{Width of Rectangle A}}{\text{Width of Rectangle C}} = \frac{4 \text{ cm}}{12 \text{ cm}} = \frac{1}{3}
\]

Since both calculations give us the same scale factor, we conclude that the scale factor from Rectangle C to Rectangle A is \(\frac{1}{3}\).