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Today’s problem

Wednesday, October 21

A square mosaic tile with side length 101010 centimeters is set in the center of a square ceramic base, surrounded by a uniform grout border 222 centimeters wide on all sides. What is the area, in square centimeters, of the grout border alone?

  1. (A) 196196196
  2. (B) 969696
  3. (C) 444444
  4. (D) 808080
  5. (E) 100100100

Lemmas Practice Set, Problem 254. Original work, all rights reserved by Lemmas.

Solve it on the front page, no account needed.