Multiply (x-2)(3x+4) using the distributive property. select the the choice with the correct distribution a.(x)(3x)+4(x)+3x+4 b.(x-2)(3x)+(x-2)(4) c.(x)(3x+4)+(x-2) d.(x-2)(3x)+(3x)(4)

The correct answer would be

B.(x-2)(3x)+(x-2)(4)

When distributing you just break up the second parentheses and put the first parentheses infront of both of them, as it is shown in this answer.

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