In ∆PQR, M, N, and S are the mid-points of sides PQ, PR, and QR, respectively. If the area of the ∆PQR is 46 cm2, what is the area (in cm2) of the quadrilateral MNRQ?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 34.5.
We know that,
Area of △MNS = 1/4 × Area of △PQR
So,
Area of △MNS = 1/4 × 46
Area of △MNS = 11.5 cm2
Area of △MNS = Area of △MQS = Area of △NSR
Area of quadrilateral MNRQ = 11.5 × 3 = 34.5 cm2