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PIMSO 2025 - Mathematics - Secondary 1 - National Round Question 14

PIMSO Maths · PIMSO 2025 - Mathematics - Secondary 1 - National Round

Question 14

Two squares overlap as shown below. The side of the bigger square is x cm while the smaller square is y cm. Both x and y are integers. The shaded region between the squares is 32 cm². Find the sum of all possible values (x - y) that satisfy the condition.

Source-label note: The printed labels are A, B, C, B; the fourth choice is indexed D here, without changing its value.

Question illustration
  1. 6
  2. 12
  3. 18
  4. 24