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.

Question

What is the perimeter in inches of the regular pentagon that will appear on the sign?

Answer 1

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.