Answer: 208
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Work Shown:
A = area of the rectangle
A = length*width
A = 16*17
A = 272 sq ft
B = area of triangle
B = base*height/2
B = 16*8/2 ..... note that 17-9 = 8
B = 16*4
B = 64 sq ft
C = area of shaded trapezoid
C = A - B
C = 272 - 64
C = 208 sq ft
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Alternative Method:
Apply the trapezoid area formula
b1 = 17 and b2 = 9 are the parallel bases
h = 16 is the height perpendicular to either base
A = h*(b1+b2)/2
A = 16*(17+9)/2
A = 16*(26)/2
A = 16*13
A = 208 sq ft
