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.

Can Petra make this scale drawing? Why or why not?

Give an example of a scale that Petra could use. Use the form of 1 in. = ? mi for the scale

First, we take into consideration the longest distance from one corner of the notebook to another. That is the diagonal of the notebook,

d² = (8.5 in) ² + (11 in) ² = 13.90 inches

For 400 miles, we convert this to inches using the original scale.

(400 miles) (1 in/20 miles) = 20 in

Since, the longest distance is only 20 inches, therefore it is impossible for Petra to represent the distance.

An example of scale that Petra could use is 1in = 40 miles.