Question

Rectangle A has a length of 4 cm and a width of 2 cm. Rectangle B has a length of 16 cm and a width of 6 cm. Rectangle C has a length of 16 cm and a width of 8 cm The scale factor from Rectangle A to Rectangle C is
.

Answer 1

To determine the scale factor from Rectangle A to Rectangle C, we can compare the corresponding dimensions of the two rectangles.

1. **Dimensions of Rectangle A**:
- Length = 4 cm
- Width = 2 cm

2. **Dimensions of Rectangle C**:
- Length = 16 cm
- Width = 8 cm

3. **Calculating the Scale Factor**:
- For the length:
\[
\text{Scale factor (length)} = \frac{\text{Length of Rectangle C}}{\text{Length of Rectangle A}} = \frac{16 \text{ cm}}{4 \text{ cm}} = 4
\]
- For the width:
\[
\text{Scale factor (width)} = \frac{\text{Width of Rectangle C}}{\text{Width of Rectangle A}} = \frac{8 \text{ cm}}{2 \text{ cm}} = 4
\]

Since both the length and width have the same scale factor, the overall scale factor from Rectangle A to Rectangle C is:

\[
\text{Scale factor} = 4
\]

Thus, the scale factor from Rectangle A to Rectangle C is **4**.