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IMAS 2024–2025 — Upper Primary — Round 2 Question 2

IMAS · IMAS 2024–2025 — Upper Primary — Round 2

Question 2

Inside a rectangle, a certain point has been chosen. By connecting this point with the midpoints of the four sides of the rectangle, the rectangle is split into four disjoint regions. It is known that the areas of three of these regions are $95\text{ cm}^2$, $86\text{ cm}^2$ and $77\text{ cm}^2$ respectively, as shown in the diagram below.

Question illustration

What is the area, in $\text{cm}^2$, of the shaded region? Note: The diagram is NOT drawn to scale.
  1. 67
  2. 68
  3. 86
  4. 87
  5. 104