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A quadrilateral has vertices P(0,0), Q(6,0), R(6,4), S(0,4). Diagonal PR splits it.
Find the area of triangle PQR and use it to confirm the quadrilateral's area.

Class 10Area of a Triangle (Coordinates)Geometry — Coordinates
  • ATriangle PQR = 12, quadrilateral = 24
  • BTriangle PQR = 24, quadrilateral = 24
  • CTriangle PQR = 12, quadrilateral = 12
  • DTriangle PQR = 6, quadrilateral = 12

Step-by-Step Solution

PQR has legs PQ = 6, QR = 4, right angle at Q: area = . The rectangle splits into two equal triangles, so quadrilateral = 2(12) = 24 sq units.
Answer: A) Triangle PQR = 12, quadrilateral = 24

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