M4|L1 Relative Areas of Scaled CopiesSign out

Question

The rectangles below are scaled copies of one another. The side that corresponds to 8 units in the original rectangle is 4 units in the scaled copy.
Start by finding the scale factor from the original rectangle to the scaled copy.
Original Rectangle

8
4
Scaled Copy

4
The scale factor is

Answer 1

To find the scale factor from the original rectangle to the scaled copy, you can take the length of a corresponding side from the scaled rectangle and divide it by the length of that side from the original rectangle.

In this case, the original rectangle has a side of 8 units, and the scaled copy has a corresponding side of 4 units.

The scale factor can be calculated as follows:

\[ \text{Scale Factor} = \frac{\text{Length of scaled copy}}{\text{Length of original}} = \frac{4}{8} = \frac{1}{2} \]

So, the scale factor from the original rectangle to the scaled copy is \( \frac{1}{2} \).