The sum of two numbers is at most 6, and one of the numbers is -2

The number can be anything equal then or less than 8.

Step-by-step explanation:

The sum of two numbers is at most 6 (note, one of the numbers is -2), meaning:

x + (-2) ≤ 6

Isolate the x. Add 2 to both sides

x - 2 (+2) ≤ 6 (+2)

x ≤  6 + 2

x ≤ 8

The number can be anything equal then or less than 8.

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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