Does 6-4x represent “six fewer than 4 times a number”?

Not Exactly. It represents 6 subtracting 4 times a number.

Step-by-step explanation:

4x represents 4 being multiplied by a number (not known yet).

You are subtracting 4x from 6. The subtraction does not change x, but it would affect the coefficient.

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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