Question

similar figures / direct scale (level 1)
score: 4/5 penalty: 1 off
question
rectangle opqr is dilated by a scale factor of 6 to form rectangle opqr. side op measures 90. what is the measure of side op?
answer attempt 1 out of 2

Explanation:

Step1: Recall dilation formula

When a figure is dilated, new - length = scale - factor×original - length. Let the length of side OP be \(x\). We know that the scale factor \(k = 6\), and the length of the dilated side \(O'P'=90\). So, \(O'P'=k\times OP\).

Step2: Solve for OP

We can rewrite the formula as \(OP=\frac{O'P'}{k}\). Substitute \(O'P' = 90\) and \(k = 6\) into the formula: \(OP=\frac{90}{6}\).

Step3: Calculate the value

\(\frac{90}{6}=15\).

Answer:

15