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MathNet 2022-part-05 — 197 problems (EN–VI) Question 2

Math Olympiad Vault · MathNet 2022-part-05 — 197 problems (EN–VI)

Question 2

Kristina drew 2 squares whose side lengths in centimetres are natural numbers, and shaded the part of the larger square that lies outside the smaller square (see the figure). The area of the shaded region is $43~\mathrm{cm}^2$. How many square centimetres is the sum of the areas of Kristina's two squares?
Question illustration
(A) 882
(B) 925
(C) 968
(D) 1685
(E) 2022