Explanation:

Let’s break it down:

- We’ve got triangle PQR. A line parallel to QR slices across from PQ at M and from PR at N.

- Point M splits PQ in a 1:2 ratio (so PM:PQ = 1:3 total).

- When a triangle is cut by a line parallel to its base, it chops off a smaller triangle that’s similar to the whole triangle.

- The area ratio of these similar triangles matches the square of the ratio of their sides.

- Here, PM/PQ = 1/3, so the area of triangle PMN is (1/3)^2 = 1/9 of the big triangle.

- Total area = 360 cm². So area of PMN = 360 × (1/9) = 40 cm².

- The area of quadrilateral MNRQ = area of ?PQR – area of ?PMN = 360 – 40 = 320 cm².

Let’s look at the options:

- Option 1 (160 cm²): Nope, too small.

- Option 2 (320 cm²): Yes, that’s exactly right.

- Option 3 (120 cm²): Not matching the math.

- Option 4 (96 cm²): Too low.

?? Correct answer: Option 2 — 320 cm².