A drawing of a logo that will appear on a sign uses a scale in which 1.5 centimeters represents 30 inches. The logo contains a regular pentagon with each side measuring 2.5 cm on the scale drawing.
What is the perimeter in inches of the regular pentagon that will appear on the sign?
First, we need to convert the measurements from the scale to real-life dimensions.
1.5 cm represents 30 inches
1 cm represents 20 inches
Each side of the pentagon on the scale drawing is 2.5 cm.
Therefore, 2.5 cm * 20 inches/cm = 50 inches per side on the real-life sign.
Since a regular pentagon has 5 equal sides, the perimeter of the pentagon on the sign is calculated as:
5 * 50 inches = 250 inches
Therefore, the perimeter of the regular pentagon that will appear on the sign is 250 inches.