Question

5 petra wants to represent a distance of 400 miles on a piece of notebook paper that is 8.5 inches wide and 11 inches long. she wants to use a scale of 1 in. = 20 mi. a. can petra make this scale drawing? why or why not? a model may help you solve this problem.

Explanation:

Step1: Calculate the length needed on paper

The scale is \(1\) in. \( = 20\) mi. To find the length on paper for \(400\) miles, we divide the total miles by the miles per inch. So, \(\frac{400}{20}=20\) inches.

Step2: Compare with paper length

The paper is \(11\) inches long. Since \(20>11\), the required length on paper is more than the length of the paper.

Answer:

No, Petra cannot make this scale drawing. Because with a scale of \(1\) in. \( = 20\) mi, a \(400\)-mile distance would require a drawing length of \(\frac{400}{20}=20\) inches, but the paper is only \(11\) inches long, so the required length exceeds the paper's length.