Respuesta :

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.