Question

what is the missing length in the scaled copy?
units
90 × ? = 30
scale factor
length in original · scale factor = length in scaled copy
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original (a rectangle with length 90 and width 45)
scaled copy (a rectangle with length 30 and width ?)

Explanation:

Step1: Find the scale factor

We know that \( 90\times\text{scale factor}=30 \), so we solve for the scale factor by dividing both sides by 90. The scale factor \( s=\frac{30}{90}=\frac{1}{3} \).

Step2: Find the missing length in the scaled copy

The original length corresponding to the missing length in the scaled copy is 45. Using the formula \( \text{length in original}\times\text{scale factor}=\text{length in scaled copy} \), we substitute the values: \( 45\times\frac{1}{3}=15 \).

Answer:

15