Question

analyze hardys work to determine if he is correct. if he is incorrect, what is his error?

1. scale factor = scale drawing / original = 30 / 6 = 5
2. slide a = 1.5 + 5 = 6.5
3. slide b = 4 + 5 = 9

no. hardy should have divided by the scale factor to find the missing length.
no. hardy should have multiplied by the scale factor to find the missing length.
yes. hardy is correct.

Explanation:

Step1: Recall the formula for scale factor

The scale factor \(k=\frac{\text{Scale drawing}}{\text{Original}}\). Given the scale drawing length \(30\) and original length \(6\), the scale factor \(k = \frac{30}{6}=5\).

Step2: Analyze Slide A calculation

To find the length of Slide A (the corresponding side to the original length \(1.5\)), we should use the formula \(\text{Scale drawing length}=k\times\text{Original length}\). So Slide A should be \(1.5\times5 = 7.5\), not \(1.5 + 5\).

Step3: Analyze Slide B calculation

To find the length of Slide B (the corresponding side to the original length \(4\)), we should use the formula \(\text{Scale drawing length}=k\times\text{Original length}\). So Slide B should be \(4\times5=20\), not \(4 + 5\).

Answer:

No. Hardy should have multiplied by the scale factor to find the missing length.