Question

Ads Galore makes posters with standard dimensions of inches by 11 inches as shown.

Both the length and width of the poster may vary by according to Ads Galore’s regulations.

What is the smallest acceptable area of one poster, rounded to the nearest thousandth of a square inch?

Answer 1

Poster standard dimension: 8.5 inches by 11 inches
Both length and width of the poster may vary 1/20%
∴ length and width may vary 1/20 % = 0.05% = 0.0005

∵ Area = Width * Length
∴ Area = 8.5 * 11 = 93.5 in²

Smallest acceptable area for one poster:

Width: 8.5 * (1 - 0.0005) = 8.49575 in.
Length: 11 * (1 - 0.0005) = 10.9945 in.

∴ The smallest area = 8.49575 * 10.9945 = 93.4065 ≈ 93.407 in².