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The side that corresponds to 2 units in the original rectangle is 6 units in the scaled copy.

Let's break this down. The scale factor, 3, is the constant number that you can multiply the side lengths of the original rectangle by to find the corresponding side lengths in the scaled copy. You're trying to find the side length that corresponds to 3 units in the original rectangle. How could you find the missing side length?

Original Rectangle

3
2
Scaled Copy

?
6

Divide 3 by 3

Find 3 groups of 3
Nice!
To find the missing side length using the scale factor of 3, find 3 groups of 3. Then, label the side length below on the scaled copy.

Original Rectangle

3
2
Scaled Copy

6

1 answer

To find the missing side length in the scaled copy that corresponds to 3 units from the original rectangle, you can use the scale factor.

Given that the scale factor is 3, you can multiply the side length from the original rectangle by this factor to determine the corresponding side length in the scaled copy. Here’s how you can break it down step by step:

  1. Identify the original length: You have 3 units in the original rectangle.

  2. Apply the scale factor: Multiply the original length by the scale factor of 3: \[ \text{Scaled length} = \text{Original length} \times \text{Scale factor} = 3 \times 3 = 9 \]

  3. Label the side length in the scaled copy:

    • Original Rectangle: 3 units
    • Scaled Copy: 9 units (corresponding to the 3 units in the original rectangle)

So now, you would have:

Original Rectangle

Original:
3
2

Scaled Copy

Scaled Copy:
9
6

In conclusion, the side length that corresponds to 3 units in the original rectangle is 9 units in the scaled copy.