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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