Write the point-slope form of the equation of the line passing through the points (-5, 6) and (0, 1).
y+6=-1(x - 5)
4-6=-1(x+5)
y+6 = 1(x-5)
y- 6 = 1(x + 5)

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