Question

Gia is running for school president. Her best friend designed a rectangular button that measures 2.5 inches by 2 inches. Gina liked the button so much she produced a campaign poster, which measures 5 feet by 4 feet. What scale factor did Gina use to make the poster from the button?

Answer 1

24:1

Explanation:

To find the scale used to make the poster we just need to find the ratio between the poster and the button, and we do this by dividing the length and width of the poster by the length and width of the button.

So, we have that:

ratio = length poster / length button = 5 feet / 2.5 inches = 2 feet to 1 inch

ratio = width poster / width button = 4 feet / 2 inches = 2 feet to 1 inch

if 1 foot is equal 12 inches, we have a ratio of 2*12 inches to 1 inch = 24 to 1 (24:1)