What is the area, in square meters, of the shaded part of the rectangle?
A. 40
B. 48
C. 56
D. 74
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The area of the shaded region is the area of the rectangle minus the sum of the areas of the two triangles.
= l b − 2 1 b 1 h − 2 1 b 2 h
= ( 6 ) ( 1 6 ) − 2 1 h ( b 1 + b 2 )
= ( 6 ) ( 1 6 ) − 2 1 ( 6 ) ( 1 6 )
= 2 1 ( 6 ) ( 1 6 ) = 4 8