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b). 18.3

Step-by-step explanation:

c² = a² + b² - 2bc (cos A)

= 12.4² + 9.9² - 2(12.4) (9.9) x cos(110)

= 153.76 + 98.01 - 245.52 x cos(110)

= 251.77 - 245.52 x -0.342

c² = 251.77 + 83.97

c² = 335.74

c = 18.3

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2

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