In the figure below, PORS is a square and M and N are midpoints of their respective sides. Each side of the square has a length of 4 inches. What is the area of quadrilateral PMRN? (figure not drawn to scale)
A 8 sq in inches
B 10 sq inches
C 12 sq inches
D 14 sq inches
Solution
Correct Answer: Option A
Pm=Qm=2
Pn=Sn=2
Area of PMRN = Area of PQRS- Area of ∆MQR- Area of ∆NSR
= 4×4 - (1/2 ×2×4 +1/2× 2×4)
=16 - 8 =8
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