Using the picture below find the area of the trapezoid ?

Answer:
(a) 8x-16 [tex]cm^2[/tex]
Step-by-step explanation:
From the given figure of trapezoid:
Height, h=8 cm
Bases, [tex]b_1=(x-6)cm \; and \; b_2=(x+2)cm[/tex].
Area of the trapezoid,
[tex]A=\frac 1 2 h (b_1 + b_2) \\\\=\frac 1` 2 \times 8 ( x-6+x+2) \\\\=4(2x-4) \\\\[/tex]
[tex]=8x-16 cm^2[/tex]
Hence, option (a) is correct.